{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Spatial Data Science 5: Discovering Clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\"Clusters\" are a common concern for spatial analysis. We saw one way to detect spatial clusters/outliers in the third notebook, `sds3-esda.ipynb`, but here we'll show a few other strategies that can be used on point and lattice data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import libpysal.api as lp\n",
    "import geopandas as gpd\n",
    "import pandas as pd\n",
    "import shapely.geometry as shp\n",
    "import matplotlib.pyplot as plt\n",
    "import sklearn.metrics as skm\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Point Clustering\n",
    "First, we'll work with the point data to find regions where airbnbs colocate. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "listings = pd.read_csv('./data/berlin-listings.csv.gz')\n",
    "listings['geometry'] = listings[['longitude','latitude']].apply(shp.Point, axis=1)\n",
    "listings = gpd.GeoDataFrame(listings)\n",
    "listings.crs = {'init':'epsg:4269'}\n",
    "listings = listings.to_crs(epsg=3857)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff2a57bd0f0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "listings.sort_values('price').plot('price', cmap='plasma')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we'll need the `scikit-learn` cluster module, which has quite a few tools that can be used to identify these clusters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn.cluster as skc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we're interested in the locations and `sklearn` isn't conversant in geodataframes, we'll need to get the point array from the geodataframe:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "coordinates = listings['geometry'].apply(lambda p: np.hstack(p.xy)).values\n",
    "coordinates = np.vstack(coordinates)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Like other scikit estimators, they are split into an initialization/configuration call and a fit call.\n",
    "\n",
    "Here, we'll use a local density-based scan clusterer, called DBSCAN. It works by fitting clusters of nearby points using the `eps` distance, which is the furthest distance at which points are considered to be in each other's clusters, kind of like the distance-band weight we talked about in `sds1-geography_as_feature.ipynb`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "clusterer = skc.DBSCAN(eps=1000).fit(coordinates)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, `clusterer` contains all of the observations found to be components of clusters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1491246.09061424, 6906289.70571696],\n",
       "       [1491523.30240249, 6905027.62126592],\n",
       "       [1491598.86544802, 6907372.95269835],\n",
       "       ...,\n",
       "       [1484839.95240175, 6903009.17746024],\n",
       "       [1486389.18508418, 6903758.10755677],\n",
       "       [1486722.30038881, 6904230.45890805]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clusterer.components_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It also contains the indices of the observations found to be \"cores\" of the clusters detected:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([    0,     1,     2, ..., 20047, 20048, 20049])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clusterer.core_sample_indices_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As well as their labels, which are the quantity of interest here, the main thing we wanted to detect:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  0,  0, ...,  6, -1, -1])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clusterer.labels_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In addition, the number of discovered clusters is contained in the `p` attribute. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "nclusters = clusterer.p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To map the clusters, we need to assign them back to the dataframe and plot them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff2a281f668>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "listings.assign(labels=clusterer.labels_).plot('labels', k=nclusters, cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Areal clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Areal clusters are usually slightly harder to identify, since we might mean *two* things when we say \"areal cluster.\" \n",
    "\n",
    "The first sense refers to *clusters in data* that can be visualized, kind of like what we were talking about in `sds2-visualization.ipynb`. \n",
    "\n",
    "The second sense refers to *contiguous areas of similarity* in data, which require slightly different approaches to discover. \n",
    "\n",
    "We'll tackle the first sense first at the neighbourhood level:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "neighborhood = gpd.read_file('./data/berlin-neighbourhoods.geojson').to_crs(epsg=3857)\n",
    "median_prices = listings.groupby('neighbourhood_cleansed').price.median().to_frame('median_price')\n",
    "neighborhood = neighborhood.merge(median_prices, left_on='neighbourhood', right_index=True)\n",
    "neighborhood = gpd.GeoDataFrame(neighborhood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff2aa93b160>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "neighborhood.plot('median_price', cmap='plasma')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of the more helpful & flexible clusterers in `scikit-learn` is the ward agglomerative clusterer, which aims to build good clusters from pairwise aggregations of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "neighborhood_priceclusters = skc.AgglomerativeClustering(n_clusters=3).fit(neighborhood[['median_price']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff296dc7e80>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "neighborhood.assign(labels=neighborhood_priceclusters.labels_).plot('labels', cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that these are all broken up around the map; while we've found three clusters with similar prices, there is no guarantee that these solutions will be connected spatially, and indeed we often find that this is the case. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As to measure the quality of clusters in the map, we can use the `silhouette score`, which is a standardized distance between each observation's data and the \"decision boundary,\" or the nearest cluster that we *didn't* put the observation into. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "silhouettes = skm.silhouette_samples(neighborhood[['median_price']], neighborhood_priceclusters.labels_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff2a6acfa58>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "neighborhood.assign(strength = silhouettes).plot('strength', cmap='plasma', vmin=-.5,vmax=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `mapclassify` package has some algorithms to do clustering as well, such as the Fisher Jenks optimal classification method, which finds solutions to k-means-style problems fast & efficiently:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "import mapclassify.api as mc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "fisher_jenks =mc.Fisher_Jenks(neighborhood.median_price, k=3).yb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff2a6a59908>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "neighborhood.assign(labels=fisher_jenks).plot('labels', cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes, this outperforms the Agglomerative solutions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "silhouettes_fj = skm.silhouette_samples(neighborhood[['median_price']], fisher_jenks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff2a69a2400>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "neighborhood.assign(strength = silhouettes_fj).plot('strength', cmap='plasma', vmin=-.5,vmax=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(silhouettes, silhouettes_fj)\n",
    "plt.xlabel(\"agglomerative\", fontsize=20)\n",
    "plt.title(\"silhouette scores\")\n",
    "plt.ylabel(\"fisher jenks\", fontsize=20)\n",
    "sns.despine()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5605668091719826"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "skm.silhouette_score(neighborhood[['median_price']], fisher_jenks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5335887580400264"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "skm.silhouette_score(neighborhood[['median_price']], neighborhood_priceclusters.labels_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another implementation in `scikit` is in their `KMeans` classifier. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Contiguous clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finding contiguous clusters is much harder computationally.\n",
    "\n",
    "But, we can adapt the agglomerative clusterer in scikit-learn to find contiguous clusters in our data using our connectivity graphs from `sds1-geography_as_feature.ipynb`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import libpysal.api as lp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "rook_graph = lp.Rook.from_dataframe(neighborhood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "the Agglomerative clustering configuration takes an argument, `connectivity`, which is used to constrain how individual observations are grouped together as the solution is being built. By passing the sparse matrix encoding our adjacency graph to this option, only adjcent observations will be grouped as the solution is built. This rule, only ever grouping neighboring observations, is sufficient to ensure that the resulting clusters are connected. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "neighborhood_priceclusters_sp = skc.AgglomerativeClustering(n_clusters=3,\n",
    "                                                         connectivity=rook_graph.sparse).fit(neighborhood[['median_price']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7ff2a5d20278>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "neighborhood.assign(labels=neighborhood_priceclusters_sp.labels_).plot('labels', cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "see?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probabilistic clustering\n",
    "\n",
    "Sometimes, we'd rather treat clustering assignments as \"predictions\" in a probabilistic framework. Often, this is done either through latent dirichlet allocation or, more simply, through Gaussian mixture models. \n",
    "\n",
    "Scikit's gaussian mixture methods are also fast and simple to use, so Ill show them below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn.mixture as skmix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since Gaussian mixutre models are probabilistic, they are sensitive to the random seeds with which we populate the problem. Therefore, I'll pass today's date as a number to make sure the solutions are the same each time (but you don't have to use this seed!)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "gmm = skmix.GaussianMixture(n_components=3, random_state=7052018).fit(neighborhood[['median_price']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Gaussian mixture models have a slightly different interface; to get the labels for the assignments on your trained classifier, you have to use the `predict` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "predicted = gmm.predict(neighborhood[['median_price']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Further, if you want the probabilities around the assignments, you can use the `predict_proba` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "strengths = gmm.predict_proba(neighborhood[['median_price']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives the full matrix of probabilities (over all clusters)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[8.12234237e-01, 3.36664575e-04, 1.87429098e-01],\n",
       "       [2.27849052e-02, 3.43470611e-02, 9.42868034e-01],\n",
       "       [1.87906330e-01, 5.42612080e-03, 8.06667549e-01],\n",
       "       [2.66802059e-16, 9.99999846e-01, 1.53895689e-07],\n",
       "       [9.74290541e-01, 6.14636516e-05, 2.56479954e-02]])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "strengths[0:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, just to focus on the probability of assignment to the \"most likely\" cluster, we can take the maximum probability over the rows of the `strengths` matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "strength = strengths.max(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.81223424, 0.94286803, 0.80666755, 0.99999985, 0.97429054])"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "strength[0:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "now, we can make another map showing the assignments and the probabilities with which those assignments are made, kind of like our silhouette scores above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YlKbPmwTge+6frwZ+76NPV+1fgPp+0HRPtNCnCYfeQEme4DBwACXsZYY41kCZAc4lKUGuC+CVPMGXlkrqvK4d6qQ1BWOfLtmm0XQazwOTjNVjNqO0YRMILeoe4CHTvL0VnbUwHyQR3AXrgdI7FxcMeOLF9V7tpaiawbGdsrLA7OqCe2pCRPv0aUJmqeQIsAIYCnyB0AU+gBrgnGVzzxMMAEJxKl4ArM8TDAcwhPmLCHET0QdpRMqnXXRfjaYn8BzqMLgIdWgNJ7DrRKesyAduLd/dBNfYJQL5pXcuvgHAtXbMcHcwxRK6puRlFb6T9Gu6CVrTpwmXZagNM1ziUeXIOhW3Cfp1VIqCUE+5Y4DVeYK//ZTEa2KpD2am7kx8lUDSaDQdw+vAEygTabhYO3gtPim9c/HPUULb0BCHxAAvlt65eEzKrN7jEkaWX9V5qwvKWlNO0flTX/08RGv6NOGyO8Jx8bSNpO1w8gQzgDeBKwnfrJEJ/MJJnK+gjnOFAXzShffXaM5rTPP2NgPFEQ7/mbF6TKcpSkrvXJxSeufi3wG/IHSBz5OfuRpjgmcm6Fw+7OL7a4KghT5NuATzkwvED9yauA4nT5ypb3t5NPPYSO5Kf7qNSFndhffXaHoCke5hQ1DR/53F/wD3EUUQhtFsPSfayAB83MX31wRBC32acInmJJlEZCfYUEhHpTOICjvJXWmaWNOF99ZoegrR7GETg3eJmOnRTmDYLTEdsZAIKUdVLtF0Y7RPX09ECAGYARfh1+GLtIZuHfAGqvRYZ2ACagmeaysgzaR3ut+hHz4G/tZF99ZoPjfkWpe1Bl+YVzqWhHVIM1aPiSHyPHKf0Enmy9I7F8eggiCiwmi2dlWqlqPAL005RbquazdHC309k/uBB4CtCPEhSgAcjtLEjUTVlF2G2hybgIFAFnB6FG/b97fLdxyUk6jNcjiwNU9wGngWeH2ppDaaN5InSAVuQ+WtikrgAzjNBIayItppwuEj4D5df1ejCZkhwB6gIde67GWgArU/ZaL2gHHAU0A9Km1JGnABEDtw4JIVL760DBFuMUZ1YDUDTxmrx6QALwEvAntN8/ZGJeiU3rn4q8CtqIwIUeGsiwsno0JHcAJV6eh1HcDx+UCEr+jRfO4R4llCS2fSDgmOZjL2OIlzHGFe5bv8bYFAyqEsP5DNWzWplIgXWLkgjEwI1agM928Bby2VoUX45gliUFUzFgNfjuS9+CKDomN3MGaQCC+VQxtqGFy2nRsO2Uk2FvLQ9Bga/dW3XAr8KgJtq0bTY8m1LlsA5Ec63mp1lmRkNJ6Ki3U4nnrszQGx6U3DnNUJxc0lGSccVYkyefKxzJjejaGWQrQBW4B/AK+Y5u0NKbH6+ot+aQbGDRhx/CqL1fWrCN+KT/p+Y/NOU6xrQqTjJdKBiS0I6cAQfYX0WxZyC3ChKacoqoO75tyihb6ehjLt7gVGRznTJmCsVNpii3D7h7qwHnuEqt4OkiIp5L0WpYH8DOXMPAhVNzIJ2IG6RynwY1SJoXiU2ThYzcxQOQn0+RaXrRvJh2Hn6asns+IVPth3ikk5ICwAFpqLr+UrTSP4aLyPIZcipXZ81mjCINe67OfAr6OZQyAr7r9iR/nYAbVjQLaAcJtFpZE6u3hr/NDKaRFMWwX8BvjzhqVfE6i0MNNRGsJmoASoRFUKegzITkqrW5OeWb0gmvfSistpOmkyG/3N/eo/7vOFvV8IV5spkWCWBZgYjaCfu9GGQSEuMVcgzF5DXjHlFF3fEWvXnDu00NfTEOISoo+wWg3MwSsQSELznyiprWVwNCaGg6iyaLle7TUo042DtvmyClAJlqNlPTAFMIHRdCvTK/uzNeTAkEpGnHiSoliJ2acAmkjZlkU84JzEC1Mt2FvdKuYj5bkuTafRfG7JtS6zoISngZHOYTEZJb/96mbzgNTmLO9rCaPKCnpNPxrxfmI4zLa9zy38sPFE+sW09R1sQu1bgjZuVfLUoNHHUk0mGVXlDMMlqitP9LYBCSBS0iYdzR905Y6FoY6XSLDK9YgzJSq9O5zA4BAuMVYgWve4v5pyir7ns7+m26Kjd3sSSsv3/ShnyUedVNv97wiIv4ol+6OYu8b9nOvjWqu/nndKgpmo03M0lKESNMeq+U29nmVDQiUjQsrA7yTW8Vc21/kT+AAayZz6Hn+d+TDNta/yXr577sYo163R9DSuJAqBLyHGuevxbxX28iXwATQd7DvYsFkiMldKAw6+mbO+8UT61bQPFklA7V1efvSiX215rw2R3O/MfSVUl6XvB5EJIgWgevsFC08VjAw9G4BZFvgV+AAEAzGzAKtMk1ajUJrkVok8ZxWWNB2HFvp6Fj8BrolwrBOVUiTg6XEYyxfksjQa7dWIMPvHEX2tx1Kgl2eDxJL5FLtddQwsDzTQwCyfY1WhnZQxod3KlHGAKxY+SdHrpUzbGfGKNZoeRq512UjglUjH90luLnzy2+tHpsQ70vx2MkyDy9+bUCwNEXYUf9HzCwtq9g8IWbvWSkN18oBoDG5NdQlrDZc5x7v99KpRcyo2DvGuydsOaZJbMTE3pJsJzAhysMg4LPLRCJar6WK00NdTECIOlfwzEuqBnRDaxrCAh3JG8EEkAk2kwtvgCMeB0lxO9XXBIOaCx9lf00SGz5N/CykNf+LwplJmzAvzni6J+Q8D5CYd7abRhM7dRFY+jezMmoI/fmPjzBiLEdSMatisU6qWjw47Z2bm7AO9gvdqj5Sm4bamuD2RjLW3WPc21SZO9n1ViJMfj5tWs3vAFr/3NhurMMuJqOT24fBX87T9nZV+S9OJaKGv53Ad0CeCcWXux5RQBzhIOHyKCecydcAQIivynU8QzaWThJF/5uAxO4nNnu01DC57lFOn68iaEcF9VyyVnIpgnEbTI8m1LksDbo5k7EVjSvN/ceWOBSZTqBH5siV+WEXYgWjCZEQc8V99Ki3sSjwOm+Vg7enUTBABBGFhPfb2lDH1xb3bHKglEmkxVmFmfgQCH6gUNprPIVro6wkoX74fRjDyICBRuftCopE+2/7Iif71DApVwHSi8gLmA35OrCERjn9JCXCAIAJfKzZSx/+FbdtbLTD1DKh4gn02F3GRVgD5T4TjNJqeyhLC1vJJ+w2zD67/zryDC0OPZJU1abn7DyQMrwjpMGc4TQ4poXzr4E0H/zEr4mAMh806SUpC0vxLCVUn09bUnEobBsK/qfoMIr7ktZyB9pr4MnAHbVjkKkyEnaHAzQbzFK3l+7yikzP3DC4ksvJBZYQhiJWTve4Ztk53ERdK/cc1nC2dZiVEASwA/cLoewGwO5zJqxkxazff2DKeN0d/xkM7XMReGN7yzmCgcnppNJoQyLUuiwHuCnecxSRPjOhbH3rJNSFP9L50t82a3hQ0x13ZuhHrS1dlxzobYycATSCiLKEmkuwtMQdi4+1BD9hCQEycw2h2WMNQ2oi0kjdnrB11a0Fm9fasj1KnH700YrUkvB75UE1XozV95ztKy/dghKPnoSJqgwpI5WSve4rds0MQ+OpROf7mcjZittW8sBlYh0r6GS7h5OozAX1RpYNCJp8HbcDWq7hlagZFx8IZ68F6bdrVaMLiJtRBLSychmno0v9MHvbX/FH5hkGQUAlZ3ffqbTHW9KaA2nspoeTdKQVHP5w00dkYN0Xl41Tm1bj0+qMjr9qQP/2H7x6L711XEvZ67da6UPsmpjbMt8Q4wgqYs5UnT7fXxp4++f6Ei059OK4g3PV5oC0Vn2O00Hc+owS+76GEt0gZBIxF5ebzm8qgN/vG9GZfMCHKhfK98z4VbwT2AdOA2ajAinAjgMONtuvH2RQxIVHF8IESESuQqd9hXpUJhxHmPQGiSs+g0fQkcq3LRqEq10SIMOfvz1z43Rfm7t95PDXA4VWkNezpvzfQTNKA2oP9dp7eNHyBpx9dfO+6knE3rFwz4aYVg9JGli00mWVW9tfXViOM8PYHIUNWvgkBqf2q54EsDeMGMSc/Hr8ZhKVqw5DpzaW9DoW1PkUlcDiCcZpugk7OfD4jxGpCjLj1wy6UObIZyAG2A5P8dXYSW/wYJ3u3kJbS2hZLTb2DxFgD63GUOdezPm4LStvmq8yPAziEqte7BbCjEpu2CnetSU7jAWsGe05bsQ0pY0o4fnaNKD+hkDfbBzBVC2QawAG+mP8qH4Rrll68VPJSmGM0mh5HrnXZHcCfiUI5ccuCfRuLy5Obl+/tP3VIRsO2h6/ZGuAALI3UOYe2xg+pmna2BewNsVWWWFfszicv2W2vTZzpOWL4lZvy00eVLhCi/R5Sc7hP/v5/z1qY0K9m/8CcAydjejVZXDary9kcI50tMcLRFGNqqU6Kc7VYYxw2i2Xn8ZSKeaPL5lrMMuTAisrSjELD2T5diz+EMAqEUMnshdlVMuqeT3qb45xJoY4HPjFP2R91jWBN16GFvvMZIU4AA6KYwTO6tQxV0Dwg9WRu/j+OTkniZPlN5JakcnjCW7ycv5NvD8S3X+Fq/Gsiq1EC2a4AfQD4Aj9aN5v/m11P5paX+Sj9NBOHBFurm1bBMijxVNT+hD5t0jJ8zB/WreOe2SHei+v5wv8M55PHkdIR6hiNpieSa132O+C+SMdbzUbx899ZPQzA5jC12JymlpR4Z2rgUbKu92W7KkW8o9+h96duOr5qzFiz1bmn/8QSWXugf7sDnjWhpXLy9z+2CkGKr9kMl6nEZDb6ovKJ+hVeyyuSNl275DvTTUKe/MbMw4evmnxsTijvsa4yOd/WGB/ywVMIY6MQnAlSsfZq2jjirhXThFmGJFjX7+/7wrHXZv5uwtt/LAr1npruhTbvnt/8KYqxdpRZt5WQUrAkUTY6haMnb2dcdRqHcwQkTOOZRPwHksxDaRB9kYbSDAY03QpcFTN4ejpAMmVTs1gXUtFzNyFHoWXzdrtqI5dw7/RBrA2pCslEXtw0nE8eA74cxvo0mp7KMqKoWrMo++Tx1p9jrUZccIEPQKTYT6Wc2vVC7sbjBWMXIEVvl90yvmZ/f5+Rro6muIzSwpH+9i9MZmMI6vAa8Lv2uVdnSQBDiv6f7ekfsqYvNt4WwntqRUq8rCqO2oQZx96YviqU0S6buenYG9MvAX4f+j013Q0t9J3fPAosj3DsccLP67fHQULhdJ4pjqUhu7Uxi7UjCexH3Q/w5cTciNI2BjRRD+ej3RZsVo/XzYH6exGy380kXmg3rwDrjVxojaG+yd+4RE5VXcH3C67m5tYk0reHsT6Npkey0rHkAHBnpONzhpb3Dae/vcV6oq4qeWvZwQHNVfsGeGj/RbrTad7hb9yJNdnzbbXx/nx11xPEfcTlEic/WZF9xqRc0RA7KNQ1W2Kd4ZSk2ysE7RJINxzou6Bub6bfPKfSJVzVW7I2HvzTRQcwTAOAK3Z++cdDwrivphuhhb7zGSkN1KYZSeWHcPw8QAlnY2NoumgOf2hjmjDh6j+cjwJV28hE5QRs8WgrRgmCCwmSWugL3DPU8/VR5saEse6Qo34HssFnBKEF29CbWLilbVuTbRpPF/6IQZv+h8xe03lmgQmjVYjORYhxYaxRo+mpvICK6A+b2uaYkA9/LY2xxQd3jMg4fjBrSsmnExdIw9RG8LLbYur9jxbsfmXBKJfd7GnydKDWPYsgLjar1w/f7zJMZ76LUxMcJ0P1ujKbjd4gS0LpK4T0U1JSiOP/mDbA2RhzJkG0lNB0PPXA4b/PWbX315fXnHx30gxXc0yrP7cJFSCo+Ryiffq6Myr6dixwMeq0+Cci+YMJ8RPgkRB7rwaSUUJfSL5ubjbRPir3DM2k7nyUU2MNYgKZLrahSqqVo1KqBDVdXMCqgptZsMCzTULd/3GkuY4LQs3dV4gKVPFLKsUn72Z4/0B96hi46TizG1M4ahrApjEmjEAC5dNIqTV+mvOaXOuy3qg8oTOBR1Y6lgSsZe1njmzUZ9Sn35wnVrNRfF1O8enhfeozBqY2DYiPcSWGcg/DELaiTdk1IPzsGbIhPrH5uMViZPu+DuZYe92kJctLLPGOccAOQqhi5HSJ0mtuuCWpoTGuzXu7ctLRVd+adTik5MnN9XEbGqpTZgbrJ4SxXQj/gXjCbBy5s2MMAAAgAElEQVRJGFx5RJgN2XQkvY9ht4711xeoALImvP3HlgB9NN0QLfR1V4SwoJJgftWj9T3gNeB1txYv1LkE8Dhwh0frBpSvXBrKxGlDadZmEGF9S1R9Xp+JTSWi9lk2VpxkWjBBcj9QhTohB8RK4/576TPYSnO7TPjHmbnqn7w5spbBofgiOlBmmHn4McVcyP2r5/PbaFLftMFO4uk3+deI6+WlATQIGs3nl1zrsmuBVzlrUToE/B3420rHknD8bsm1LrsE+DduC4TVbBQPSG0qrW6KSWhxmJPMQjr6pTRXf3tWccbYAbVjIlnvqWN9V1ee7O33M26xOvLjE2wBgyaExWUbd13Bpwl9668Idj8pcf007+q9G7cOHu99Ldbi2nf7hUXN04dUTA5WTURKaGmIK2yoTh4Ows9BUzYIIeOE6LiCDHG9Gq4b+cJfdaLmzxla6OuuCPEb4Gd+rv4H+AT4FCn3hTHnbcBTKMHKV5qUaNkItCtf1EDfrc+T37uS7KwQ5zkA9EJp+/wgbbcw/fgAtvgVIkuZuvpZNocjqO0DmvBxQr+X3tsTqPR7Sg6HQ1yy6zXeTXYR+9ulkmc6Yk6NpjuRa102EZVs3ZeQUQw8i9KGfbjSsSSkA2yuddlY4APggl99ecvBYX0aRnTUegEMQziLNmXXty9tJk/GxtlLYmIdIUXpm6zO5vGLV+6IS20KaD1YuWZE/kO/vzyAECkbXvjuqlirWYZS4QjDEHX1FSlb7S0xs0G0cXERwlgtRFT5Ws9gsjprs2bs3x2TaJNxd6zosIOw5tygffq6I0LMAX4SoMfVwBPAHoT4DCFCK5Um5dPAPahaumGVIQuRqSgtXRviqEmLpc4WxjwjUf59fhOPzuSJwkACH8B2bgr3VDsamCJwrrHQbG9tHM+rmztC4HMQZ3+F9/Nf5qNxLmIHA9/L88jvlScw5QnS8kTY/pQaTbch17osHngR/764w4DfAv8F9uVal4VUYm2lY8kelKtL3cvrhoeRlDg0TCZpiU9q3unjUpphiJBTLBkOS/zO5y6c3lyZtNZfn4bGmN0PP3ZpQIEpI8m2N1SBD8Bkkim9+tYuTOtfVdbiFAfOXpEtqN951CT3r9w0PHenLTbJNkcI5tqeWnRGS2l7apGwPbUo0fbUot62pxZFUeVN05loTV93Q4gZwNuEl1+vBsgD/hzU7KvMxo0ogX8jymewXURXFBQAC7wbG+mz9VFOB/Vx8eI0aq3uQA3pEBg1vdl74DYmzhFBKis9RmlFA/3DKc8GQCZbDn2by+qeYP9IF1brfaSVWbAPDj7SP0eYX/QyH1mdxHsLqttQvkqt6WkEKtR5P/A+8NxSia8vIo2m25FrXZaG0uJ9NVhfL14BfrLSsSSoMJdrXfY8cGOM2XXgjguLmqYP6RgNPEBTffy+kr1DR/u6lpjcWGYyyZBSVwEgpMz++tpVKVmVCwCkxAAabHbLqdv+59rYI8cyApaWu3hsacF35h9ot5eGwveen7PlhomlsaN7N40TwsgXIrra5iaLs37Q9IPb41KavQXVI6jk/Wmo5PutQuppYC1K+P9v7O0r7Gi6BVro6y4IkYXSwt1FGBUivPgMeBkoQErfJXaEGIoyr7SyGhhPCEETIXIUrzqZBuayZ9nYFGa1DFBRx/mT+bvrUn40J466kDVgh/hCwct8FNGGuYBfrVnEA3P/wKnqq1iyYzTvRbVhvs3z+dtZPA9EyPm3vNiM8oV6bamkOlhnjeZck2tdloAS9P6ASsEUCSdRvsdrgDUrHUt85ufMtS47U2nIYjIO33fZzpZI/fh8UbR59C7DZW7jZ2eNsa+Ki7eHFFjhSVxS496EsUcPPvjK7CmlJ3sNCnVrt5iMw0/esC49Oc4Z9oHc7jTZb1o2zzR/cPXar40t6y+EHBqNL198Wv3eQdMO9hKmiBP9l6O+l56LvX2FPsB2MVro62qEGAG8A3TYpoXSFK0HfoCqZvELVEWNTaj6tk949T8IdKR/zAZUtF7rYlwvsHL/ERaOGc6Hu77O1y3HmXN6I7f1spFiLeFCX1FiW4AsoA9I21f55u7xvDk1lJtXMXz94+yfFYn3whA+23MDl/Q1YfRewz2fzuHRRQIiFdZYzU/XLue3IWXXDwE78C7w8FLJ1g6aU6OJmFzrMgvwDHATHesuVIrKOPAk8C1UDfCdwB6U720bIeaBL20rGp1Z5zeyNhyqTqUVlh3p38Yfz2x2FiQktSyQBnWNjQl7kRATaxcmk4wzm11DhKltZLEwGc1DJhQfMluM8QAHTvZadf/rM+fLEIQ+gaz63+s22PqmtATMFuCLZru58Z43ZhRVN8VOG5jcsvq++YcyhIj8u8VsdVQPy90lhSA90jm82Ao8FXv7ir910HyaMNFCX1egomk/QgkTs1H1YzsDiXJ8vtyjzV9qlVUoQa1dJGyYGKgP9jTPRicxJTv59pHJPDfPU4g6zfi1T7PTl1BUisrf5/4ikc1f4YY9E3llmo++bdjJdfn/5tUwtXMGc3lk7UXcP0Wov4dTwiGh/Pwi5rfU7bWT3JECPUADKsjnqaUy9OTSGk1HkWtd9lNgPqoWdzgJgsNlE0rgazWrrkPtmW2wmo3ivKu3isEZjUO9r4WDlNDQYqk+vmtEjZSmNnNZY+wFDrt1GAiPHH6yLimlEV9l2IZMPLTNYnWd8bc+UJay+v7XcuZKAsfjWkxGyYu3rBoS7tpLKhKL8/4z2W5zWrIBxvWtz//+jKNRWSn6jD5ekDa4PCKLSRDeAO6KvX1F2Cl8NNGhAzm6jnGo/FWdJfCBsiV4CnzFqGALX8xHaQejZRdK8GuT4d2CfcgUnlvoKfBJMP7Ja/6+MAagcnO5EfFv8dKEQu4KusZkSsMwj0sms2zjz0jefzH3zxFn/x5rohX4TjDjYCcIfKDSVjwOvJMnSAvWWaPpBNJQe0tnCnygDqiefnQ+zZ0Ol2nY0v9MDliuMRQMiXHXa7OqSalr5x7jsMcsaCvwgcXq3Oqv7m7l8T5tkuKPzKyb94fr162NtToDJo12GiI1HF1MaU38sfv+MW3N/f+aNrRV4LOYjMNLph4LuSa4byS9BlWG7sMYHtcC221PLdLRv+cYLfR1Db1Qfiu+WI5ygO0MEsCvT9hxIvfF8WQiypm3LFjHU0xcV874QAESXn6GIuZD/jzrfR4vCDTvYAomJ3A6iO+bZAz/3Hofabuu5rszYmg6k8Kmkd6HnMQE1SgGYhs3bvobhaGmqImUK4CVeaJD/m4aTTjsw3eln2OoKhqdha9yjYCsmza48kS0k5tNmC6bcLz0g5I0k81FbeDesjYu3ubX5aS+Knm6YQhP/2mG9GmY+5clq/bHxzgD1BQWqW9tGezv++EM5fWxZQ+8NWXVPW/M6H+sKmkubg2iSRjye7MPlVnNMpzKRG0wWZx1Iy7aXmwyG52R2quV/sBy21OLrurEe2i80EJfVyBlDSpo40wL8CawACkvBm7spDtnoqJCWylDCZ9bUSf2cH1ialCBG56sQyV9/iIqktdnTVoJrn/yRsDoNZSf4x7vxo3cueAlPiwwMPs8DwtkygIe9uswvIBfrfklltPf4OtT4qhtlxj1r2yuep8nNwdZW0A2cnsLiGhN5aEwESjIE6GXk9NoomWlY8nfaXtw3YlK/j58pWPJTXSM1cAXk1DuDQDkDC3PXzzn4Pqnr19n3HVRUdimzF0nUtvsL0cqEw+XVCS5Nh/NuPDPe9JPnGwy+w6IAyxW5zYhSPY/u6CuvFc7QTQ53jHpme/mHxmQ1njM38j3tg/y60NX3RhTcePf5hXf/WpO34OnU+aDaOPfeOW8/YVXfnVDnyD1zgMSn9p4xGSWHZLmJQgxwL+14Hfu0EJfVyHlUeCXwJeBTKS8FilXua8dJMJ6kyHQal7disqpNxeVjDiSiOFjqJD91rUWoLRzrVqyBUAlPr4AypiyLkiy5j2cTSnTjmIuXfA0O9a5sPo06QzlM5/RagPYcHAiL5lNGH4TPzfQf4AteMWngBgdl/g+FEYBb+YJ/XnWnFP+iBL0RgHTVjqWPLXSsaQ1n92LnXTPeACTkGVfHH+84K6L9i68dFzprJR4Z0TZB55bM6L2jx+PzQdYX9x76zP5o0t3HE9fCGA3TGP/fiB10GvFKfktLuFVOUdWx8Xb/FoDzBZnVf/hJ/J79a3xmUM1IdY19n8XrzVlZdSX+Lre4jAPbrab2x2Y65qtNe9tz9rrcJmGgPD5eZ808pRNCCLW8gEgwqj4FD1m4HXbU4uicqfRhMY5/WbSeCHlrwNc/QAfDssdQKvPmo0QakP6oQAV8NE6RzVQhFqvdzLRLPdjdw2D6sqZkNREhv0zfmMD8oFE1OGjgbOHkD74EfY8qWDsnKfYtf42Jky3YG/zvxxPRawJh2FgPbMx9mbP0e8wN8GM02+Jt0Z61xiYk0bwQaSl6ABIpcRV5s990iTLyW44QG6lkxuPD2D+bAt285Bo7gcsAu4E/hzlPBpNSKx0LHknwOUPOvHWNWmJtpM3zC6OKMDgwKnk/Y9+NL559vDTtY02S8rmIxmTbnlhzq5muzlLtitjJmKL62MWPrYrvXp636aV1110IMMSb3fEpzecTMqsSU4ZVm6OTW/MaDyWdlpYDNG0Y0C9qI/pb7a4xgTLjWc2yYGPXr+u7CevzD58pCLZOwDFUtMUczo+pvnMPtTiMDX/9r8Tdx+pTAqYOmZwZm2MvSnmOF6ps8LB0RTrV4iWSBvxxm4jzd7gzKkeZF2dUWoqj43WNy8eeNn21KKc2NtX6OC0TkRH73ZXhLiLzvsC38jZqhyDUdFxoZIP4Sf6lGAsY+3BE8wO5CPSACFVoygA4lBVO2QSpU3X88Ux/dg5xLOTC8vx13mn+iBfnACCJeSsGsQGvxumBP5EycZs3mr+Ij+KKmLteVYWHGFh+zmE3Mehz1LE0LPpGGTurALyMzoiQq4GGL5Utq+KotGcS3Kty3qh/h87g/UgpybEOPfdNOeQPWdY+WSLWYaUVung6eQDS/8zORNEALOsb2bOPpT/uz/+K+DeV/PemA1GU+zMQH0QRnHi0PIaV3NMk2G3uBwOk+uVjyZY/71+hNfeJJvnjTy14bsLDsyOsRgx24+l7Xrk/Ynt3FE8uXpB0frvXbU18dDKCWOREecFJT6tfm/WjIM+g9DsF53+1BjafPGZt3Mytij2v5kdki4HWBx7+4qXOmgujQ+0pq/70pllbMah6l7ORfnfHeZM1Qu/OFEBJhGd6I4yf/UJZgcTbIpRPmqBsKO0gGdO5A0M4FkKC+9gXGwah88IU2acg77N5YOcxB7ezvVHBrDZr8ApgZf5uKCWwQvG8O+i4O8oMA4SfJleqpDCxvy5J+TR5f3PGGe+ejKG/IxobwnKtH4D8KfW8m5LZRSOPRpN5HSmq8EsEGua7NYZT63Mjtl0JCP/7ov3Bj2IFp1MKXr4vxOTIxH4TCaj7IFfv9Ourrg3RnNM0AN0bJ/64zHpjQtUsSHFrQOrD8X1rlv16ntTPQQ/Eb/6QObCNQf6VfZPbd4fFyTqd8bYEztvu2bThObqpM3RCHwAJrPhs+yc7N+Sb0p1zDRcHMeslAUyzZEphSwTUkQd6StjXd9vOTbq5bis/bLl2CgRl7Vf718djPYB6r5ErJoPgQRgBsrfzkxo/wdrUD56YW8mBqbTr/FOKKbkUDQDZl9rcBGf8wT7XDVcUObt52fBNnQay3JNuE76mlACL/FpQTGXLABI50DUQREZFLkEzlMeTWtQ5dYmciJuOj8YdzYC+QsVg+jl2IVJngYZTbmiI8CteYK3UQE7v41iLo0mGjpz/wJ1YF0PsOFwn4U7j6cGrCV+ui7u5K/emzTakKaIUsz84H8+PZKQ4Ajo8mG0WCqRIqKqFdZE+/Al122Y/7XLtq+zmF1toqIlIqO0JmF2cXlKnL/xM8ce3/GrW1cMF4JEe1P08WPSEGbDadp75nWca5Pr6pONxtyqhUKIFEu9pY7WHKFxRqrsbT8ghSyTyIi1u9IkbcwtNwHvtRwbtRLY0XJsVHTO1Zp2aKGv+zKuk+c3o8rjgDLxFgCBior73XCC8Rm/OWgjNZTTdSjOx2Z8RPQCGFgH/YkjmY9QdaCBfpVel7cDE7zHKIHvk4LDXOTWQhpVSZRFLfRdw+KFF/PTYpAuVJT0XDw1608OniU/y9gDIEY3DhI1H48Xrvf7Uv+Ri0f2rmVYYyEmWRHi7baivgAHobSgV6MqrNyRJ7gjT3RMsXWNJgyC+uR2JH/8ZJy1tCbebzTszhOpxwiSFNkf6RkNm7/0lW05wfrZS1OKg/UBsFcl+RVkbrt+3ewPX3jWdvHc/d7ZAxyAz+CzGWNP7Hzo1pUjhCABoLkqKTGUdQSiqSplXMnaMenSEEcBjCm1VqzyzLwCMdbcaF7d+tp+ddl825KjmbYlR1Ptl53aY/RrKZAWY7+vub2RCc4TckZlPpeX1pPomoXK/7gQVR70Ny3HRn0x2vejOYsW+rojQkwDLj0Hd/LMhr4A//kB64lwE5fQUszFoeaRC/WU7B0s0gYHSdl/5lClh13AhUod00aoVCbdDwsOc/EZs3M8Vcc6yq4+h8dmX8N120DG0C51jYjhspmJss7cJl+XSHLFi58UzxGHVuZQ8pnBTw+uxjfVKEG9BBVMM4v2GtAkVMm9u6J+MxpNePz8HNxjAuqzjd1pHvWzf01z+XNR/3j3QF85BUNi4uRjDcF7gfNUss/0VN5Ip2mC4TT5zQEoBIk/ve2zSROzS/d6NG/DR6nMGWNP7PzVrSuGtgp8AM01iR2SMNvZEtOvOH9csmGIbaLKWu993eQ0LRB2saXt4sEY2DLW/qVTC2zXHxti/+KpXVLIdmlrpJCGzGrcKC8+uYkLTw0gs2UhvtNO3QG80HJslHZF6yC00Nc9ycXT4aOTsJGcZmBag/LvW4X/aN7dECgflX8ExN3C9KwbWRgwoTJKiAnVJDQTVS/YH9sdJDbt40vvoyqEOPCKhHZhMV7ik4JiLm3jZ5hGcbvNzRsnsY5iLtpTS9apYH23saTRrWFobxqymwYza+52f19UIqulL7/ZN4/rj+eT2dK6uVagtHqJKEF9SLA1AJeF0Eej6RByrctG0rmVhlpJmz687ON7L92586rJR1cvvWqb05cuT0o4Xp0QcbL1lcvHLLzqCz/YdfxYWsDkz47ypFCC0ABhbizuu83fVSkpwxCbFn958yFUOqwKlDtOG2aNP7bdbdJN8hjb5GyJCepbF5vUdDg2uelQsNQs1qF1ZcY1J0bJ0Q2TfF03N5kvwOC0z8EWYoxBLeMdXzxdY/RyrJPIJgA5qTqfK0pPM7lmBvHGdERQ//W+RJ5pQuOFlp67G0IkAT9ApUPZgu80KB1CPkurB7ApcTyvBwueiOr+AmKGULAgl6WrV5LnLxDkMIRVUuwE7U++B1G5B2cCfMATjuF8MspKSzsN34ssX32UBe0CS/qzOWApp1NMKPk7a1rsJI8FEDhPplJyZDAFthF8mDKY/MFJnE4HKCf7aKufoF/2Js/hmmn58s0t84VVtjuECQG8tH2hlEDO3P+yMXUAKsjnGDA84Nwe04TYT6PpCG5HBYZtRH2m22moOoKM9IaKB3/+38TadSMnTL7AfwGe93YMWgvCV33vkGlsiBv/o9u/ufnlfzzbOzbO2c5pTkqQLZZA1YXa4KyPHyxle4Oz0WwpMJpiJyHFrHH9aqtGDKqsPng8o50GLGfc8R0Pfjc/W4i2tdKly3QMhN98d8Jk2AZOPVSYkN6wwL3uJsNhPtBSl1DTWJES21SVnGlviBvcurLM2ze5hIUEf4meBaK3pd6y3ZnkbMHs+9BuDGwZZ/96KSeWDy587aZvGANmnGDq1TvLJnyhKNNkCjlOQ+9hHYRO2dLdEOLHwGMeLVtQkaod7hj9O2p238z8RO9UJx7sRKVRmUUHfehqydq4gTsdhdw900Ws56GjAKW5AnW6HUjg97yb9n6PnnMAkMzxTT8ia3rr4t0CX0EJF/oUxhaQt3oRD/oUTIu5MP9lPuotsQT0txS4KhIoP5pEaeUppia630fgqL6bj+WLv+/wG4Eo/5W5ja9NneTxNWEAq1E1k4P9baqBfktlQJ9NjSZqcq3L+qNKOrYeYCpQUfkz6OAv7u/fvGrVVbMOGdWbhvn83JTWxB97b3tWccH+fuMlokPC461WZ8mCRfuOfPe2gux+mfVn3FYMm7m25j/jU0AIhLFHCOzSEJMC+RGmjDt21BzvOLPHSUmFqzKpjYBnSGq+99sr646eSj3TL2fc8R15t5z14fPEZTdvP7Ryok+tnGGIol7DTh3pP+pEQNchKWmWLtMRe2NcheXyY82m9JZBMoYRCOH38C+R+5y9nMMRvhVJtvqYpgcH/uKUy2Y5kyUiJsFWdP/yJ9LSBtaG4v7zlbis/W+H0E8TBG3e7X54+7VNRQkNhSj/rQ7BSazDhNPlJM7XnIdQp/QJKE1jh23WvTg24xLum/Mzkk7N4fdr3SdIOyqydT1KkJmNes97UIJcGSonX4u7Lyjzpjft/p/rGTS9kLvXw9mgDX8CH8Ap2hdtl4jKT3hk7Ut8ulBiGYz/usnu/ubejWROPcXUS1DC2SBUZPJWVJ7D7e0GPTdojixI95kqRh6PK+cbUwd5fYGYUAJuEep3FMjvKI3Q8h9qNNHSl7afw94ozftROrg0mxASS7zdBm1NlNWNMRVbj6bveODtKfX5+zMXdpTAB+BwWIYs/3jcwuu+8v20H97+zYLGhpgGAGExTsWNOv2JsLg2JGVVDEu6oGJy4qDKCmtyUwHC2A3SBrJZPRSGo60/L5JS7/uZBKm/ue2zM24kM8ae2OlP4AMwWVx9fLU3N8UWlBzKGrD1o5mX7ls3do2U/vcLIYg3WYzsuF5N86x7EvrGVDAmphQRUyr3WU/LVeZ6uRZDthkvEKPNjWaf+6KU8Pj827Z5CnwA9qbY7Afn/DjuiWtvKji2o7/fcnduOjsavMegNX3dCSHMKP86f0ETLlSwRcCM7KHwMb9f1UCm8RVunC2QnwEXogIdIkq+HCmPs39bFSPrUAKMk9BcDvJRwt8lKFluN8pvLxFVEqoN8VTuuJfeE1/mw3Y+fN6kcajwB4w4E6nXTNqOv7A9s44s78i5tag6oMEi5YpQJmdv89Iu1N/z7Kncahyj7NNeIt1xJrpPOoTBgIt2UBHrs5yTB+VAq+O3BeWDWYXK3TcJyFkq2RBkDo0mKnKty+4HHg7QZQ/qABLVl3higq3+nZf/WmKUJ2WtLBy2vfFo714zhlZOLi5POvjLt6cMhejy1IXKoov3Lv/FL95Pdu7qMxaXSJISQwjf5dFacTTGbLPXJDYmjjoZb4l3TpWSI0hqpN1SazTE+dyfbnzo6tKBfeqrHv7+Z8P8CXytHFg+sVm6zPEAUlJ7uqz3gfq65OmefZLS6o7OuXZFs8XqClz6zOqqNGXV7RJ9myYKcdb9RkKVkcguZwozMYkzmR2cCc5NMka2udeHSy9Z/dnvFgXJ7yqN3oOrNgydcdSWNqDW3HtwVVxjVaKj7EAf+zcf+c8Ck1k+GZe1XwekdQBa6OtuCHGYwM75p4BQo2Hb4MJimHGa6smseJpdJ+6l9yS36siG0rClowTO6BM9BcBOwv4N3HlqA3dl1zPI58k0BAyUoLcJlQ4lUNe6XB7YsZJfB00sbaH54M9JGAFwmEUFL/PRPM9Sbl4cQUXl+sxc74U/YXoPUAfkAIKBLZsoWT5NWNwu1tPnrWZrr2hKHBmoIJ2/LZW8HMU8Gk1Qcq3LHkLVFA/ENiDYIaYdZpNhuAxhAsErf32usK+QfXGahwKUHE1fVXOob9YDb01rbHYEdr+IFoGsmTy6bMfiy7Znjh5cOdJskhFZQsypTWsR0uyqTpgMIuCe+9x7kwpuvGL7RJMgaI3ho4Uj97XUJo02DHHwaMnARKfD2t9XP5PZ5Zj+pbXremeVB68GlGg/aJ5QPkx41feWUGnEs8vZiwmYRbpE1jmTndWYGQyw9fVJm1+78RsTwb9pOOit0xu33bLslaKh045/Sydrjh4t9HU3hHgXuDJAj534yDcXCnv46tbhfDS6hNyDB7ii5kpua/Nhd2H5zIzzwkjmDgUJjf/gnwf2cs3kDrAY1wErgUyUsDqQABGD95JWYcFeVc/AqgYy7dUMl3UMNOfzwGyDGA+tgHTcS8ahd/lbSxHXhPLF5ESZe+cT2F2i0f3wmWsLFZhyEBjHkqO7eXbnQhbOKmBVh5RnAyWgjlgqiTh1hUYTjFzrsm8AbwTpdpzwSj8CkNqrqWrksPLSjVsvGP/+638ptFYntMmdt3Z71vYHn1k0SMqOM+d6M33Mifxf3LxqZnysM/roZJOxGiXEpqD2Mb/5QZsqkvObylJHmSyu48Ji2MwxTpfJ6jTFpTVmWeIcQzz7lu/vn39k2wjKT2fMltIUNPfpgFFHN0+8eHMfk1kG1L6ax5evEsl2n1YmCc3SwjZnL5KNWGKcqc4Ru98bs/OFr10/GkTEOV497uC0xjuufKJp8UfRz9Wz0dG7XYUQk4F9SOldWqcsyMiguaBcWIxaBp9sJr3ZRoo9kdMJ/dg5ZAQfZr/BvzaeZHrqYi7K8h7XTEbqNm5cNZffzxKdEDG8m29s2stXO8J0fAQlNV7l1V6O0oS2Bp+cwUaaI4HDozI4QAYHGMwqALZxc2k1wz38KIXpD5QPA3MoiaJBfYYWokyrgTR+iaigHH9C30D3w87zgww2pBawM6WjBD5QCbhzgU87cE5NDyXXuiwOGLPSsWSr16Vg+xcQTFslSe3VXNU7o6EmPs5hj4t1OjdvzxpXU5uQfsO1G3ZPGFu6OlZIl3eukTmTjk36vx99sPWeP11a73CZh4T8ZkLEavCwI6kAACAASURBVHEdzrtl5bxQ6/wGwAkUYpi8NfiNQCnqd9hGuDJZXIDobzgt/XGCy52QQDrN+clZlUM8+1ZXpVpOn+oTxPpxltL9F0xLzawuGDLpUEChz7UvfZx5WpldiPZJ9AXECyezYypBCvasfmHWe/++70sXd4zAByAsjuaYbwFa6IsSLfR1HT8EBELcRKu6VQhB8CTIOSgBoxqYhpcptpiL9rzEJ8NAtEnQGUN9kYuYeBcxU0EkZbCvXbmvevo3L+eR+ceYs/2bfGWwQAY1JYSKgan8Xf4WtHZlCOwG+qO0e970cT9KvC+cYuJpz7q8rYzmrQM7WBzfRN9WfxUzmE8SviYiYF1MN6GY5WNwmRaxM8VvHq8oCDmlhEYThLnAq7nWZRNWOpZ45mkLJYm7A+XuMBKvwLWYGKftn8//7WBSon0cHp9xp1OccLrMzbExzqnjsk8iG2K9hU2kpCV7cOXEV3/1r4YlD1+1ra4xLmwTciBuu2ZTucUsg9UoD0YDqkSiL6EsEfU7aRfQYYl1+BQ09x5Nt/WzOo9m9a29wOS2MySl14WtzW9pjAsuCzjM6RgcxBw4BY+QjLUdTqoGEdD3MAL0/tUBaKGv68hF/RP3R4h1qNNdHO0d/n3RqlGqQ0XETQFS7CQ2v8L7yb5OV3aSsz1ft5BeZ6W0jTnhIJdJgP1cPelpdhy5lWk1FuxDwntbvlnLT/bZSY7GNw3ORhQHOj2uwkegSyWjfCW7tl3KvQsv5V4MzCfrGHRsD1+3LefhOIPghdM9KAey/VzbhtJsDEEFVoRKXRh9Q+V4J8yp6ZnkorTWm3Kty15H1fEuBn4Swtg0zvq3rkeZNUcAPPSz99YnJdrbWQMsFjnQYjkry0iT4Sup8H4QE1MS7b1efejf43/4v5euPng8I9o9B4CkeNvOy+ccmBnlNOWoPWCqvw51dfHlFrNrcEJi2zO5sBg+zclPfDgx5VRd/AUgG5Li7YdHZlVV33hhUdhC3wXjD/uTBY671z0BIQUmfPoHerPwG4Xj//uXDvcU0vtXB6CFvq5AiKGcPbVc4n5EQgpq86wD8leS5zSIuSiUgdUMq0j2EvqK+MqZTO7ljB/8GCfrbuTCNf3YPku0L/EVMk5iSlbwUFTJUVGn42kE9pvbgjLregVNyIoG+tl89D+FO4rQhKt/Kkf6z+FRZvNYZSnTV3/KIxklLAolSKMJpWH0prXerxnlr+drDf6INMDFHwYq/6FG0xEscj9nAfdGMU+rG0ZhSnJz7IwpR0MySwqL0T5dsORMhmarxbA8cc8H8154f9Lq1z8Zny2liKqe9s9uXC0iq9zbhirAb7RsY2NsXd4D36oFePChV6uSU5rTAQwD/vnG3FMLxh+1WS1GG8tOXbPVXSlJJDU0x07Yur8/W/dnuhLNcvPEXs6WaWnOHLOf3HmeWGPtvrIQNKHSZE0BaklwrBGCy0N5o0mpzb0sMc5ip93SkXW/V3XgXD0WLfR1Ab+j+sIJvFp4EfcnxlE7vgOmTAEW1tM/P9QBVQxvuIC2ZV3LmNzmA9pCesozbJubQHnNQAqPxlNlj6XeZaXRZaW5WmD0iqPGiKFeWmnGQhMWWrDQIiy0CDN2k5Vm0ya+X21grUaVIktxPxIIL5pjFIHTyexGadus7j7rUYJOPIjhW7g181Lu8R7TBGzAXcGjFYHMGMjGeTdyIU2k7/iUR2xbWTIjwHIHA7VAL4+2AmAiZ4XlEbStdRyMkSghMcpIaqMqm7d39mG3cxW/fDpP8B7w8VJJZXTzanoqFf/P3nnHx3WV6f977p0ijXqxqovkIvfee0xICIHQApsEAgSyLGWBH21DCOwawwJZll53AyGEhIUsuwkhISSEJEjuXbZcZFmWZfVeRtL0e8/vjyPJ0tQrx2TBmefzmY+tmTv3nrkz99znvO/zPu89t2V87Y7M3J+8sHBPQ1fmOhBW9a/xsD7NFWgTFggKALqM0BxLU0x6rxBw1xtObLnzppNGbWN+bfdA2ojHZzd8AZsRCGkB+8xB+0C/y/B4HNLntctAwIbfbyPgt4lAwCaCQV0EAjYtO8PrXbvlQjZB/bQMaBmE9CwMkYYUU71/ChTxi5Cm+P0275d23nEpGLQtBfjiv7zzfGHhwJnh4RTn0FDqNMPQb148vfdiUf7QpPTy2lVNLVUHy2eBmODDKfQRQ6ze3+fgQJ+9c0GGUbstP7AyRSeTGBjqzejNLZnU1WSszeVYKjeLgD4l14iisu62lrril0n6pJnmDB1aUd5jf/uvf/LW4Pl/Tgf+AJy1zzufrEK9AiSrd/8PsEvwv8DbAObw7Kmb+ehwDhfWiZdplv0s3646yCcsif8/xpy2XBom6WlOcXtlI9tSCjjtz6ZR/oqn4xVdnMGaficWJMpwekOiDcMQ0XUDFQUsgtiTGkjjXrJ8ToYmrmjHrCNOoXztYmpGPOSc/BVP2VvYHCvydw5lwGyOPnKJLOyoJ0GVcRiuuFLbhqd+I9/q2MpX19rxOr9J27FhisfSSibq3D+DmkCP75TE7cGZRBJj6LnntjcDvwXoG3b2/PSlBacP1xcslYhoOlvLSE/zuX/3Xw/EuYYvw/TYK+WAa9L8JCUnpCGCQuBFSFMaWjFSRPh2jsG2pKtRuEJlVzpe6dcPhk4UrJ+iE8EF1Dw1HskPBvXAzi+86/TwcGrc/rJbVtXvec3685PS1dNuPd7h9tvsn/nE351rvDgtTjZF9qzLCZ7akBu6LlrEcu2b9lROm9WVjtJbmqgPtTFsH6Y2v69Gy/VF7fgRjt9+/7V7/vjQtitMr0t3QYaveuXMvtkZKaHpM99UvW/2HUcmfr4m1Pz1DPCSfd75eOb0SUxAkvS9wtgl0FGtiSYVSeRwoe0NfKh+Nn9aKRQBmTKOc9fh3/FQwmKJ6ezbfTeb4xo8SzD/lQBxPOoA2sGaxiMGBlGp6YhK4jgYi/b1oCLVXUDe6CMu3sqdR5fxy4mN1yfq/7pRxTHRbhJe4LiEtdW8b99TPLBNYgufOiMihgnGbwXRCG4YpNfOSFOQtBLA5aKn5kY+HVrGo2vEaAKsnRUND3A83oq7C1UV9weSUcAkEqDnntt+iOqvOw5/UPM/eaTsyBOHy4uChm61J/QkaJop//j4DwYTedFJSavZmeHC1OL26jZDYh+mFpMIiTxPpW3OwMtyEzA60qrMpqypVNmfB/I8HofNMDQjGLT5f/i9NzR2d2cnXPzmZw/v+8gduyd8HjlU9J5DGUKorhef/dTbq44cLo81ln3AyjTdPHP7DP/MdJucJB+ZtfTCgcXXnUi8ABeyWV/bViD0xBmIhpPT675x1z/EJN1j0IRskBKnRJQKZEtZ/nDD0tKBFQ6bOb4A2PKzh8/aUoOxFtwB1Fz+B+BZ4EwyChgbyfTuK48SolgW9DOn5FGeL3EyMHQjn6lczsNzdUKlUd4fFRJo4IaYdi4ZtByRaGIN/+HbxpcTdvQYpui4iX11gs3O8/JIXxZKVxcksUXMEEojNzZJ16FWopYrjA/zYc8yfjnxqYkTwzRUBO7F0WNM1DBWA5sEsJKHti/nF51fp8flJ3siObdSvQuqaq8Klb5NdO7iTKxyeCGPH72FD6xMpX++iS5NbCEb/oiKxad5oA2IR/oKgHePPuQuwSGU92Ad6js+B7TtlDG6rifxakOE+bHTbjr/bmPD5ndsaGB3bfGRhyrn24a89ri9Z8OxZGFbLZLCaIEzaVKHFG5Cmsfsdy3D1BJf96aI221C9qfEsk+yDK1wZLMcSDkj3U4rWY99KMlHumfE2favX77NMA19BipLkRA9A2mLTVOYmiY1AGEzW4RQ2QQh4Ovf/p9tf/rDot8/+NMtqzs7sybu8wijBYIjhrb6wcaUkU25wX1rc0PjBLLrUtGsxVG6Q0ZAihnGicID+ry+XNKC5UKLPW/PWtQ2F+Tw5NTzZbgcocPry7uz8tIDFQAhQ/hsupxOmHNC3qpLJ22pwWVxRuUArh99fANoDp6f9wIqGzU2h9Xb552PcKx4NSJJ+l55xPUt8pOd8RQ/3f4UD7CMXx69if/nSKU/ZoovSEoAhPwZew53sCrqqnUZv6h8K++d0orWht+KT9/VaHVUQYyK2wnYj9LrTUwVVKAu6PhthCagjXVzJJOSMeGfsQPVjq5uwjH2E5bm0DAKP0PRxZ/zUnsrG8dWspbSUqhrbmw1PoSKsrWjqnvDK4ajVBDL4Dx+v+9N3L00na7x71TDEBpGxHdmoss21kyliEagbIHWhz0/vEvwPPCVnZKjU9hfEtceYs5hQsC2he1rti1sp6U3remHf1x86XxH1rp4HSdSnEHv9dvP1XzqIy8uFSJS+iAlDWZHZsUVGLr74r5qivlSIoW4cqd4IdD1it7M0InCHoJ6rGKRVlRWY/w6zM0bLl60qLnqVE3ZFLIcIqu+Kf9kRVn3MgBhNyIW+a+9/uy8619Tm/nYY2t2P/DAtq0g+omQrYi0fX321V5D7N6aH9wqBHjdrmJp0iW0mD6il+G3bTBOFQAyAHTgMFu06W5TK/RMynToNlNzZfouetypk+5fTptxfF15j7Mw0zcpK2XTZdTfVfntR6aaup0B3BX2nBE8P+8s8C37vPMPTXF/1xSSpO+VhyU9BGic5N2rT/JuZvPHUzfymcECatYKJhtj1vLWmsf5r9VMJkSTMGLhOg6HE7eVN12t7g5bUT2HC1E+Vu0orZ9t9Pl1TCaYZ1FRwjDCJw01pug3GBNbQTeL/1DA6SLUeQygVsELUR5ZrSjhcgWqyONPwJpo+7LhL7+bTYFDfLTqWb63DUQ+SgszFV1mxuhjDqpooxJ1Yxgjb6WoNHa+jq+hlEMtb+RDZdM4a5nACwwBcmjU9f/lIB14K6rbQpL0vUrRc89tOhZ1ptPzRmZ+7Y5DM/uGnT0PV1Uc2F9XWGFKLSK6/fSvf+zRtLjSiCuSuyDoRhI7WyJoEiJuy0trh9GY3m+mvNDwxLp5RtCWMn3JxdriBU3zhUYhKgPgYYL+2eezj3z9a7fW9PRkRbmO5QiImP28zzQWtG66u3LQlukrlCEtSEDsxiZno1GKSSOICiHg9tuPbN227fzBu+9+r+n32zdG7kk4jw/at9aP6Idvn+6b67KJHN9IakNqhncKNwvhAIoI6EVmQw5mc+ZRfXF3kUg1xs/5rEWt/WcPzAVkn8th1C8sHhBleSNrp1IJHRp2Xo37jA4sAW4FkqQviVcUU/Z6auDGJf/BSZwMDM3mT6eX87B7Hs8s0jCnneTOhKugDlZMedIUGDkaQTOBpu9qYgCV+ihEkSAfqiJ3TGs3Zsh8fMJ2EyDNm/h/h1tZ76/hXWGTqfTNYO/ht/KeuTlcXExks/cQqmhi4md1oVLHMdNIAhzr+cG2Bfz28Pe4YJg4OoArNaB2otLK51CEtkhgdM3nt9Xb+fK8Ik7MJn6KNtYY2cQ3TuzjnoQpfRRpPY66URWgiLAHFZEcHn38ZqpjSOKawiLUtWEZuen+/E/eXLP94zfVyLr27NrDF6Z1v3BqevaI3760Ym5nvaYlMPsVTEOTPZhTtF0R0ku8trhC+mVA6xEO82XZuQDkLmorOu12zUBqouHQwoKGQwtIyx1qyJ3edSmruF/vaSzq624oWlwwr7XmkSfXhvoG0iKux/x894G73vtiwTe++ebp4RXRLpfvxDvesc9YueLi6+1Z3lNClxXYTAhpEAKJbELjDNplEhsKaTEI32UMhbS1P21M7bhz9tCzbadnZc/ZUHvlJyGorzaqC71a+eBBrWhkvZQEFy5tHna1Zx8uyxtZI8TU730A5x/aNHPN157oELpMmAaXGo1GqnZJ2shGkA8EkAwLkwHNa2ZqIUs+ktc0koUcrzB2CQ5yBcQvHDq+4DyeOd3ElhYPBXNQ6c+oM1wFT1Xexlu3aRgJ11cG9iaQtoeoGm5lfYWFwNVeorvLJ4IHqEURiizUzcSK9cMIKjrnAjlDYIi38a5WP1kdq/nJzSGcwX+j71II11yAHC4cfD+b5qXTNbGy8CIQ7qxvouwUxm4Ae4gTPZ38QfIG/53uNBC1qNXky4KO/8JNfLxzFQ9utPKdWcEPOLu/lwWxbgCNqGq4xUQWxNyKMt3tBQZ2SoauxniS+NtEzz23fRT4/svdj5TQ1JPe6E33ntp4w9lCdHOREESNcElJq9meWQiJLVKkJAjUIumTIW0TiPgyFZtRbV/VeUWdO4yAfn6oKa+9+3iZo7t6Vrm/P92SpUl9S87uCx1ZuUMSr4lcOnd674G5M3ocr33b/iV2u5nx8C+uqzx2bM52ACHMrg9/+Lme+RVt45FC24z+Sj3HGxEllJqsQlPSEcMQXW9/+4ccg4MuS5rnjy3qPZSTElq98c4/NWu6LLN0AmJASgI9nXkv1lct3RAcTrkqXZ0Kt54/svAjlVGzLhKGzVRx3HSKaQgRbpL/Y+ARlHTH68qvtdIm8JpGkvS9gtglWAZW1LJTwgFUKrQPJVj1oUjUEsYjudIARjbyrRPXc+9mndAkJifB9JJXc5z3uyv5lzU6gaCPXKvpwDpU6DxRxZ4XJaztQWnVFmBNE9gJNKPIXgoqSlcMUMGTf7qVd25x4ElBkbZTwLIWNtQ9yL7ZLrprPsnMJVH0idEqaI+izJ/HsA8VtbPUg/hB9uxuURXRVqp4TZSWrw8VPfMBcj3fCc3nyZKZ7K3Qid52KRECpJ1zMBKhc2xj1YWfcDT8OzqISttGCPMn4I07Jb+/krEkcW2h557bBCoSbFGikhj2dO/hlPyhtSBDIjV4VnMF+0VK0IHNnCeEWoBIiQFohLT9Zm9aBaYWEZmTkmYkDTKklaPmiCEQFjIcUmoz3Ae0opENibR9RkCvczcUdHQdK9O6jpctDY2kZMXbHsAwhHdwJOVC32Bq/8BwivD47HmGqY1WoZoXbnvr/oIUp5EBkDWje3dmcf9WwxDm5+67s9bvt8/81Cd/1zFrVs+kSKhIDdQ75k1+TiJNdHoRygomFNKaP/zhd4UuXCiw1DauPCNw+s65g4uL5jcdnLvxbLiedxKkBCNoGwh6HD1Br9PtH07xBD0phmGI4aH+zNLBzpxZQZ8zbmV1LAjNbJSmKIhs4SbZ+tDD5/SU0PjcJnUaQy6tBZ31iJjk/jFXfu3tVzKWaxXJ9O4rizdc5f0d4DLZymWy+L4elbZcAEIHMvfz6a0H+ERXHufqc6kPmtjwkK/3M0fzkhdCTeapQes+cqD0b5LoROoCqnVOnhoHq1ERo4T2KqM4MTqmqCvoOm5Z4ydzeJT0aagonXs6Byo28O3d6/nuvBgFKdHSU+HdMjahUr4lica7j0/vV1FRQOmPalAkNcBlEp6OKvZIR6WMiwir2utlfmU5f7bSAYQQzoY6bmnuZoHew8JUD/nOEQrSOlkxP43OvjL+3HgdO/35nNsIkM2lfJC7R6sp01BWOVa0gUn/qyTGUMJVJHzCFmp15Aw7xv6SXsdSwzv2pzmkFwxXaamhbUKMLg7t5iatcCiAKY4R1IeRSDQp0KRNGlrI7E8tJqSPSTcsSlqEMJuzNpotmQ22Ne3lE4mflLiHGvNPtO+f5+yunjUvOJxagZrvjjLZiD0mqqpnDYCIEf3X5tSeL927YonqQjLYnL/VlTt0yOYMrfvUJ59KP3Z8dvWsWT0R2Qbps02Xkh4huEx+BdWIy+3dbDZzxgMPPOL+ylduPvriiwvjujBMSwk1vmWWOwDQcW7G+hnLLh5GQsDr8I/0Zg57ujMzjYA9zTS0DGmKDCATRIT0RUo6etrzi6wV3Egjp6R3rzPdS1Zhv0t3hOyOVH+qK3u4VNNNR39b/smhrix304m5W8Y+oHf39Ib0osEOyodmmV7HGWOe7/UIUZbgQMn5KwxJ0vfK4o6rvD9J7HZdc4kSVZToBT0sKuiJ7qvcy2WiNRVEu8rPogokwqNLeSiCqJM4fWrEf1nL/iV/2PshVo5NfiWMRj5fx6fjadjCCz0CRE/LLkU1P2+F6ILwKj6/9yX+dWJ6O5y0Hcaizq+dlZa1l2d5W/Pj/FdU0jZCYe5pbstt4PrBD7H8aCZtqweZ0Qti4jmxWoyRtDlIYgzvvJo7053Bdk2XUVN2SC1D+m0aqZM1/ELgQJer0MOet5toxUOYHnul0ZW+bSpWMaMwwyN9R772pp7hlrxo84hE2S5tIbH+JW6m4MSpWUsWVbQOORxGBgg6T8+sKFnZ0FFUNDDz5tcfC9ceA6AXDB8RImzu1Iio5BWCzM9//pmVM2f27fn5zzdHnWtTdXPggwv6cy4XtAgO/2b7+HyV4vIeSM8csWSgLwRFmmZ2m6aesIWk0GTz0puOxPQ3zJvRvSxvRjcBr7Oqo276WhCpKSJYTr9zAf1OhG4WMNffiojmcDAJyfkrDEnS9wphl6CQ2FVvEqVTm2oRQKIf9AxUytOqziwPtUK2rGdDpW2PjP2RQp/7OnZVa4Q4wge9XSyL1lzcQWQxRTQkvGA7Wb6ujzmtuVwYI2UbiD5+NyrqKIk0gz5MbF1iDspSJoL0GdjMKv75qk06QVxx7Xwm4hJbE27rJT/r27SuXsovDnWx1M/kQpDVRLGjCcdm7n8z4nM3os6ZH5WadgN/RmkyBeo3YwPOImVykr12EbNH+EBX9vHMvMGFWgzbjWgwg7a4HTzMgdQtwm5WamkBy9Xqmiu4XZQOHgq1ZS1FCksZi64LxUcDpt5Rtrp9rgSee2bJ4aqX5nvWzu0dzmnJi1Y8VYySZ1gpckuwkBNZh4/Pqdy8vm47gBmyZffWF1fnzW0vDIs6BpGi2TQ0t80VCE7cg0S6ibFQFwJt7fzu0MOSJiki59ybZwydECJ2xN80tSm1gRSaHMFM3Dfc4fJ1QeLK6Yotp7fNWHaxtadp2indbowTcGFoLr0644yxaiju/OtrT1928JavfgoVBBGo+cuHui/uRWnKc0Zf69mx/77ORGP6W0eS9L1ymIXSwwRRaVcDRUAk6nvYzNTIFsSIPk1ALiqVd370eGMi172j44l2wThGx/Bn4Lqw1/woHZg++gihJsCtII2b+Pgf1/GDLWLch86seoYfRxtXwMLYLULYH+bFtk8wq3TCMn0VqjihAGWsnI6q+B0Lb/ajznU+iszMG32+A1XkEUSlYstR9jE3Elawcpz3H36W76QbOBOlYy1HHAwclm+Y53mjJa0OQA3v8RHZ2aMHNflVoc7TfNRYx6OaM6mqfQ2ffz/Ro8n3RXluIyrSmsQ1iNP7lphCyCOaZgY13TR0m2FquiGFJhnszl6h24zzS7bUWG4baAbss6VJndCidsEBBEZ3+naj3+jQ8zzntNTgdgBpUouhDQq7GVV7JuzmOr1k8GiwOWeFpslJ2tjui4XH22tnDgW8ToeuG0YoaLP5h13rAU7sn//iD6unVRiGbS3AsQOzz927vCfaIWxA3JZpU0H9xcJVyxY3tWWk+0oAvP0ZK3wD7srUnJHtZkg7NdyVPeBuy10tTU0R0OpyI728+1jOiiavI2dkAzZOINgqJf6hvvTTzbUlQ2cPznXWHZk9PStvaKjh5KzrZmFUN+q+cdKX5TA67pgz2JDvNBIV4U1J9K9ppi9BegaA7OI+q2b2pGYNu2eucl8f3pfZfyGr39QdlbYyd5rIDC4QgnQp8SDxCI18w2fznv3c65zANy0e6kfAP1od198qkqTvlUM2iSeK5ShykYKKzk1cZYVQqVeBqnzdglq9NBE/auZEkZpWVMQqD9gM8mwCPmJDFSX4Ro/pQK3MoobkNYKtq3ngNWLCb2oOz8eqxrWkh7GKABkpIVICdnxjx3ONPpRjSSRyuEyud6NI4phBdLgtwNhYF/cxu+p/+VXJ+9hqS6ctJUB6eKVYNFi2vJHolhrXSwi4KbXqp7WX6N9ZI7Bjwt9uVFHOYqDOwVDrXVy3UiCnUn23niTpu2YRCthXQmzTTyNkW3pqz9ITucW97vzp3QsczuD4YkFK8I2kNDafm9kiTSHmrjq/StfN1JDX2W5P88dv1RXSi4yu9FyZ4duPQJqDKeu1XM9e3R4uw70MYTOXHPzVjvOunOFuTZMy6HPY/CMp2UbQFnUOlpLQ8xdycwzDNr4QDppU+A3hceoyXANciCows1Ktm5A0CSEHOruzOsdIH0BPfckWmyPYGvI7IrM0UtOHGwpXDTcUYs8abpp+67FcU8imr9z+8ZTB7qxJmZWeFiVHzsa2ItPUn89DT3cLIzAQlJtyHIYnnEhFGZsVDjdhe4KJt4K0nCFLcx3INmE3c6ONc+Rc4Rp5WlcFI5pp2GYNnZE+m9PoTSlKvbGp6tyPNxuB3rQdEbuMjbgFLNcKkqTvlUPCkDcqFTC28vKg0m8BVKRqIZOrSw+hCEV0TUwkSkcfaARbP0lpcQ8Lz2ZzKSdIaiCbS4U6AUc3iy49ww+aWtiYYmK3bC2zigcbbQQmkc80umJVAI/q/CT51Da5mZ4fICNacYWlVOG7uNk5gfCNwSop2gpcIjERzW5hg2xj3dwTvKdqNT/ddjP/ePBZvjvdxH5VopYmetR2RZHb2TtAs5Ie70Wlu6NhJOzvTC7/liru5KbOKRI+P8pXMYlrEC+su3+sUCoujJBteXdzId3NhWi6cToj193j9zhtPk9qOVKUMZrSO7VnWevC646fTHf5X2dpAFI4THfquBRBup0Zht/WMPqnDUPLRpKJkAMiPVAj0gKljnRfxlBXjpWFGUGTC2cHHGGEUIjBgNZVkGqURXnLJaBQSvqAgBCRrdQGhp3nIH4rOICigsGLc8s7Jy/MpNBDfkfCeSU4mD6z8eHNgf210ysHuzOvj7ftbDN1bpqgPA+z44hp6P9Zm+N8z9zBoxkOM1G7TcvQNDM2E5+AtJxhS/pl4TBahYiUPUlJiwzplzNVpqaHLmaNC9W7f7kkx9uVYaU1Lb40OgAAIABJREFU3kQcfWnjV8WO/fdd05YmSdL3ymGqJewu4uut1qFWkVZsNyZhLs/Wp9O9PZ3uiJt6ITVl72N7WR+zW3/AuQ6JzVJfSD/pEReKg+EiQUhKbOEhxQyg4b1c11JG1TYTres/Od7VxbKysO2sEBtaWdU9nQMJG3vHwSzUudyNWu1FXYUu5r/n/ZaH5Ut8efEqfhpay4/Xr+HHdLL84u944GI767JRUVoDRYICTMnINnarqonwkzGAtXNzidiVxzH1Ttexc88M9lkxc554nHcj5e4pvCeJvy1kMLVuM5iGvniwO8a0J0Xp2ZdWlabluC/O23K6NS3XvV4Ia/ZIINvQWEFIj0xVSJEth1K2mm4nQsi9WJSRaAJHtMxHu8fWE4P0eaXklJTKekpKqjRtckS9rTuzAwttIkd89hQ1/VyZJac0dMeGee03zMj0nH3qz0schqHHss8qN+BECtpyB+Jwn9+29jun80pTdXNgY6Hn5PYZA6kCkQLoQpM+TTP9dkdwShpdq5HBlAxPXD3nxDFHe9IM2FqJLk8i4Le3t9ZPLx51rbCCEPAl4CvXOuGDKV7ESbwsvNw2WNEw1id1MSqNZwmbuT8hkculofQDrPOohtmJ0cXSiAWEQOZ+ipJDy/jFERve8MmjvYSjhQAaZsFdbA83/d1DRM/ISNzKHZXr+dFmVEXwOFrWVZz/Qd0DB35Q98CBnxz+9p5LWxcnspoXqKhfzPSkTqhkBT8/MkJhnoGzeexNRZwo/wDrX5PHOT9KN7gUFTXbBEzB+FVa0rm0sr7f4g7jTcBRb4YLeLx6G1+KW9wRhkeA5UnCd83jLzF/MdKfWV791MYttS+tsB4lFrI+kaeeEIJVb9uzwZ7qP25ll7qgRBMyot3XU00ZZb1e7QUpCTf1zVJRPmEbrRTeKiVNYy96/ba2zr60hJGmkvmt9Z9+6t8Xl3/wzxeEPXS5AtduBLI/e7Aq799fOpT7r7v3pb2tbg8iPh8pLRxc+Mbtp/xCyLZY2/glXoAs9PFjeQ0t+8W29G2/b0kXWbnupVm57kWZ2UOr0jNHNjpTrBfRAJgysYE2wmxPSfdZCiYQYwEe9Dij9lU2DG2k8XT5yGhbTCuoAzbu2H/fl3fsv8+0+J6/aSQjfa8c4v3IJarIYxFxmpnHwQGmQC5c9FqKPhVzfPYCnqis5W0JL/xuFkWNPKXTrb+V9655E3e3drGkMZV++wCzfN0s9tnwjq+CbfgmuvFL1PkSahxHL3SxZJaBc/z3amfEdyOfPrSYX49p8xaHnPYh3R/MOP6B1x16+j/+cQ6aNlagwcOV93veefMXa+Y+ezSR0DxuSnM7X+I4f8+/0VeyhMcOL+MR7xDFsp01Dh1fKqqx+hVpFjUMS6TvEB+zukqO1XB+kCikz8nA0Dt4R6mwZprtBT6AlL+0OJYk/raR6CbdiopsWy4wGkNKhqd13tYa61WiwlpxgaZLfdkbD+Qe/U1i3iIEzrL04KmGockaOonIz3bI1VLikpL94yNQkXzXpD0gx4nUxbbs8yC2A2Tku7uRiKHezPyJe56/+dyJ277839lCkCZs5pz0he37h07O2KgXDzdlf/Zgj54VGI8c2kqHsc8eqBr4xrqYNicA2ZneaXab0R0I2kqivS5hrSnpr8C5vVja69pEsN1Akoamu5uL0t2z+/Zlpvuj6aAtQZoioVYvI99dLzQZ0YM5yt5GhIi+2Ai4U6Pew1rqZhyTUrOapXgU+NCO/feFS12uaSRJ3yuHiaX/QZRNyElU9eSfd0radwn+AfjPKe43milyXARIsxyyX8AT6bW8LeF2Jo4ZvcxtzaM+nEwUAOiESoupLgXI5hJlVE3aSCCFqqbXQJ2T7QAuugc+wJryYYqO/4BzCwJkps3j6ZN38KaZAjlxAsz/et+v6wy7bUja9UgtohCux377hYzPZr4jZAuEYv3uJSrtuRcVJSskLD2TSfMKB+6RAJlp1bxvbTXvC9/HWEHIlKERjPDaioZOllpdJUeLhox1Lomo2nstnzumYVr5LXUDNyDl1e4uk8RfL8LJ3HlUZfxuVPeaY6gFUzuRPpgxkVXce2bJjUcKhIjwt7wqcOUMzwLZByLhQml5nq+3IUp9gd8UrSk6i0lgb4S6thgcdtZ19qWvB9BtodD7v/+zC7kl/fN+/sn3nrl4bPYiZ5pv+JOPfeeCK8s7yWYl/a4z/pT0MxexmTNFFHsVx+LebY6l3TWBmmkxF64/OTTzVJ3pz0zXQpXpUk/Jk7b1YUFRPSg57RRiSyZ6RabUJ8li/rx/Yf8tr632C2H9O5x0AixYvKTlDFuLqGmynjArGimRQE/AnRphpRMM2Dp9nhSrWYp7gG+8GtK54UiSvlcO3wS+iOpS4d4po6beHhx9/ftEmvxGwxlGW5JNBUOUjKg5OjHm8HyZ1f2e5M6LO/hiOOmbibJIiatptOEv/wRlh6v4Qvcx/uFm9azJx5nTLiA7g47VnyW33U9mQwr9i6NFowyHLUva9JgVdYbTXvbHb32g6uaP/jjWankIJTQfixAOosi5B5VmmCagrIKna0/xzlji5xWoCNuUI7Y6gYQiaAlDQ5RaKQqCycUsJiplvpoohC+FfvcqHrDym/MCtyQJ36sOR4HXoRYMPdcfujfawrH/hXX3z0fpo96TaIeaLeSds+HMIJevN2uQlrVaCAEOl/9iwJOSkPTNzghEjfJ3eGy9ZRmJi1KlJMswxEvHzhUvRGnjuOmjz+3Lm96/DeCu7zyc4RlwVbuyPDOFFsVXT0gh7DJupDTzI8dtPR+5QSKjm093jzhTQ0KuHhAhBgjRLv01TrSBNKmTIfVsl9RnCURMZuYP2HOGR5z7M9L9U5F4jENKkXDey5g2YMk/UWhycOLfZlA/1l9XXGIGbFG7frRdKK0LM6CPhX/fsf++f7cyhmsRSdL3CmGn5CUL2xjAC7tUO50fAHcneMuYZuQiU0irdLNoeD5PW9o2nc48jWCrlQrVs7xd28EXo73Ui4VCliya176ej126xNbmu9jRnUpfvk5wnIhoGMWp9MckuY4RX48/Ky2ujcKRj9y8au0Pn26adrY5Wjr6JJN9ErOINMwOvZEPDu5g54EOVvib2eC4xHUFnSwtM3HoKMH7SZQvYCK4UR0/vACp9PWRwEjbT2YzCCtVaf1cvpkOoH4jMciu5G42nNYwE030BvAWpDxo4fhJXEO4/tC9F1AL0kTbXQLe+8K6+58EfoHyCY0KM2RLPfbE1o0VW09WFsxpt56tkFNqE0lGwcBwb2Pi4HiqLhfZhAyE5OQU5UBQsxgNEqWaRmlupvfkm//1sbriivZ8p+tyqlQIHGk5npgyHM0nNCNB5lpLMRZmvPdU1dDPl0Zcy56APtQ94pi0f0Ow1IOJR5h0j7qpCInfhjjmQhtORxNZUs/ORJ9lQ2QCtHTkGgvntif8tFJCKGg7b5qaF0kIgS5NkTAIkVkwYMXqBrTLVjkBd2rV4IXCLSCi1iEM9mQd9nlSrRC+nwGftXT8axRJ0vdXiJ0SH/D3uwS/B77KZVPlaKghdqePCNjwnJ/D81bTgwBk0dTcz5yEpG+AWbEqRcOLNGLhrI1A9wdZnWfHG62TR1wE0lISindT+ocv5jR0RDufEmu+W7qT4VVO6rNzqWcR/zP25mCI1It9zG37D6olaIdQUdjw7h+gjJFrUYRyfCwDlHu+wkg9CE0j6NMwTDsjviX8ynsj92wFGKJkMMr+ouEUymLDg9JjxfCIlGzlK3vzqUtk0grwRaT8o8XjJ/EqxvWH7n38hXX3HwO+Adwae0tJflnHFHSA0hS66ZfSeqO13JldqVZInxDY81NCFzq89knVrwN+3dJ90pHh6S3dUnt29ZJmI2t63ybr1cgKZopMmPaUEo9vb3SPzt+cKD02piOMuw+BHkSuGsRgEINWMRrFlLQ5EO1lwuj3DKfutTuCeTZ7qDw81Ssl0jPs2uMdSZ0NYl7Ya41CyAaU5lGish4jUrIcRCZImZrpiao3nLQfEw+GpqPJuuHW3H5fT2ZMLWMoYOvpuFQUrXNKOE4BH3k1pnQnIkn6/oqxU/LELsHTwBeAzxG9j6NVQgXAXWwXxRy3coGMo4yX/P0RLXQjIZDRLqZ+VMuiw6gJwET97pyjj1SUyTSoCsFMO94p+95JIZC6Fj+aKGVowW8P9ElNRJtcQ6NjTYRzRCHhAux2vHMLqZmbRnffCIVj6SQP0AD0oQSLjtF/o3ReEa4QrtFzoYIZPnLYzz+xkCfqZrC/opcKq3pMiQWJwFJ+efQ1/LMVwtcCvGpTIklMHdcfurcRePsL6+5/DSrCElGNP212+1FNl9Z94jS5W9jklDTMuTO6y6xuK8OopNNmeO3pI6Fpi5qr0wsGR1zTBkOpucNaSqYnpe3YbP9wZ05a1+mZK5GCoNeZmb+4hcwZfVMa3/ix7YkLqIxO10kZ0qIubqel++0gzVjRsAmI3rpMUBJAlpztc42Up5mjc4KUQKNuM1rt9qBhs4dSTSG7vZ6Um6Id53IP3whUSck2hGzXdDMx6TM0T1/tjIRdT6RJ6ELNHBOEFV/Wz+zYf58lH8FrGUnS91eOnZIgsHOX4FHgh0zuf9mH5X690p1OR30pR6YcQdvBzsXHeX8faHF1MbOobBodUxoqnVs4+m9KnHH6UVGvBUA9MVOQ8eHJyxhAiERmwoHqu1674qaP/2c00mdH6d0OEt+ZvZM4kVcTrSeIa2JlmYvJKduxQo9+VMTPDePN0jVUWjjcuPRSDbc3mtg6jvP3Vv0ei1BENu41/ho+b9Wm4IdI+aqfMJOYOq4/dO+LL6y7fyHwT8A/M+E3OWvVeYsdH2QIGBC6OeXqYGe6r8CVPbTPM5CRoCpVNn/kxpOtuWmBvjRnKMuhm9OEINue5Zkx7braiIXy7NecAqC7trTyxCM7tmeU9jVmTO+94oIUaY/ft1hKPLYizwb7nIEDoYvZc8Nfv3lh5yabJvf/5kTp+jjEr5PJRYURKEwNTRiHEECZEbKVGSEbTt3bsebWqvlAUJqiwwjZBgMe5/BIX0ZwqDvL6R1Myxhoz4/wjJ02u80b8DqrnGk+CSQkfcJm5qOZtZhaXHPtgZ6cIyBiGdBPxBkgmaUgSfr+ltBEpKHuKSySpDu4pbGC30+Z8AFk0Jb/IZY3PsiBniBpMUyQZeCNfGgl0TuPxEvEOLncHWIBEyp3pwJXjzs7o7X38FBpniKXUvq1kNHtGPL2u7oHhwtONwVu/siPljTuWHbIMeK7LsZudKCC+BXRce1u9vPpswEyomlL/Kho51hULYfoOsdoN8Hew3z8xsN8PN6hw1FBgl7OJRyqz6bJyqIhgIrUJJHEFeH6Q/d6X1h3fz8T7jn2FH+fM81nraOQ4IDmMKbSl3wSVt26Z83J36+rcnfkxZwvcwr6LxYWDEe8HvI4YslWAJi2oHW7I93b4740bV7H0fJ9xWsvriGGv1w82NpsQ8EyZRUoJRJJD0GtV47Yh6Tb4fM/Nm+GNmew0f/n6TFz1TfO79roSgk88/DB8i2MavTCcJE4MpYU3axZleeL2ompZFHj/vK15xaN2agIXc7S9CB2Z5C0nGEK5rRz6ficvQPtkYHI8rV1q50uv1XvPISA7NkdmQP1xT2xPPekhO7WaVa7Bv341Z7WHUOS9P0NYJdAQ910r2jS0wg0zeG5uAUCiVDIqbLPUOD7Bp21wSg9Z3M5fyyT1lgrrphi7lGMkb5zKOJlta/lOASYH1z2j9MGygovZDV157l63NlCpTEmpTKW/Lrq9ahoXoDo1ionUYRvN8pceWLKxSROwYyJ3lHFF1JQOssQl3V0/aj0qJXvrz18zGCtn2UUbEFVXUZNn93CBzq5nFqPh98iZdcVjiGJJHhh3f23AN+Z+JxpaA4hrDUIELr5svp1azbTseLNB7bVvri8suv89CgLOhnML+2OuiiWQT1LSvqEIGqmQ0oGA8Op+bozcLZozcUyoAO1oLPUamwMxt4i3fN43nk55MiQg84CTDGNsEW02Z5W5nT5uo2QXhnwpGyEcF882XrD0pabFpT2N33+iZVDptTCpTJx5SHvef3J9k07zjj7mqe111Ut2yKlpoOkYmuNpWKb1KyRKHOVDGmaOSV9I4DuMEpcBYP7PF3ZUUnf8EDGcWlqCVPAqAX3L6Z6/GsVSdL3t4EvA++M8rylKrZCapp0Qonadg2gDFbbUZNW++jfzcBXgAUOPCk3cM/gM/wo4s25XIiX+luGijploNKoQZS+L4AiUiPAi6go2Jho+KXRbVeRuJWZBE64+oZXuvosNRBZj0qpHkZVzqagUqs2Lkf4tqJ6H6/m8qr9ODEIFEAlOy8EyByL5BmoVbVz9Fjxim12oyqxs1DnPJz0xTJZtoIYJ0RSSI3V3pTPvYzjJ/Eqxwvr7l8N/JqwDlBG0J4uJe5YBryXIT1oMlHaNIC6dtq4PH+1oTIkm4CPAFRsP7m563ypO0oUrF/XzRi6MIG/J+Oos3TAhS5zgRASH6bwI4Vp+GyhaSsamPWa0zOEUKlLKWms+9/1B6ZvqZ2fVjSYsGWilIRGzpRUmCPOhBUnQjDNZje2izRfVdBnF4C0pwRKTEPvsTmCi4VAm5k3Uvbt2w93fvqxtY0hUysbfWuQOG3hstJ9x2+94dSNANPKOyuEOFlZW7ls69LXHdmTVdQfk/BJTTbIbT0hskIzQ8+nucIsWEHQY3MEp7SIH4MjwzvL0xU9mNffnW1Vz75/x/773Fdy/GsRSdL3V45dgo8C98V42ZLGqp/Zg6gI1pgx73kUIWlijNxJGd2VXIgcJnSpWMT/VEQjfdM4MzahDwKNKBJZiook2VEkKNKbKjYyUK3M3KiUbznRK2FBkbeBKewbFJFciyqyiKVx2Yj6LCOoVncxrxcJxmneMXFy11FFNrlE17AEUN9JeMQx2nc6nytvzhl1xizhSL1AWonygTq/SSQxZYz69j1DlIWbphv+xIQPQPiQPIFgB+q3WD/6aOIy0eux3707avou+ODWccKi6dLmcPnrAp6USWllTTe7gQKEDNnT/I3O3KF2pBDDzflbAAZPTZ8/rbxv+uTIpDqcnmKw7P2TukDS/OdF7S1Vi25oqVqEI9NzZN6bD4vC1Q2royntpMTb9+KCamPEadmFAUC3Gdv0dGNciqLbzEnXc366v/An793n//bziypPtuRuR2U4YmYb3rb9TM/Equi8WZ2LNtzxYq3NYURNiUtd1lPka5UrB5fhNHMActe3zG4Ivz1IUdTbVFCdX9Y1hZaUCv5B10VitIz0jaRadaFIzl8TkCR9f8XYJXgj8A6UxkxHRY3SUSH/fOL3VgWVZvw3Hzm/AiQyanVtIqxnQgumNLpz0mk/OkzxpIjXCNNCwBFUVG+M3FWhDIIzUREyN/F7eLpRJOg8l93vM7msW6xGkaLwQos0YB1wFmum1mPwQcxqszGUAZeAJ4E3x9pIQN1HWbjQR+bpWt7S8yzfW+0nK5pXXyMqerocRWrDES2FVIT67FOdNFuIcT628tVWrKV2Q6hCmySSmBKMRzfmrXt32jc9A+lnvQPp53yDLrvX7XJ5B9JyfEOuIme6txMiO09MwADwU+BrQqM/FqmLh+CDW1OA1098rnTpxcDFg5MvC2mKFGELDRSsaXALjbnAXNMQ5/wDaeeCQ6nzDXfqzFC/a6891xO30l0a4mLIb8s7/9t141YmAbdrzelHtnPml1tbC1c11M+79dAKR5p/PF0d7Ek/EmjP2oqaL6dayBZXO+iwmc57Xndq3VPHZj772PFZS+KtG996Xd08pOiQkvMIWSwEc20OY1J6WSJHyA8clcsHp5MdmkvYHOLI9eYL3WyWhjZpgd58cs5IftnUFCLSJOQbSI+azfJ7HY3S1GLoyyNQM6UDX+MQV8YDkvhLY5dgCaqnbiw9nB+VxvCgomsSRSSeRKUlq4E9O6W1PpUxIYQNpQsbJzC9VLT8B9W+EKlzQXrm8ofDb+Z9Mp2uTUROQn2oqKJv9DEDFV20oQiFGP1/JsrXTox+nmkoghsNF1Ar/GIUES5GRROPcbla2EqnEok6V/moaN8g6nz6UZW1QdQqc/ro5zqMuklFS1WcHt1+GaCZaF2tbDj3a3671MMksXGiNm1+1HkJ/97jFmWEoQZlzByzGvBzpNc6GIlbGTe+LymtGE0nkcQ4jEc32lDVkjtibSNN0Y6Qw0iGZEgfMv16BVLrAR5BLViedH7kJUutCeMh+ODWe4GvjR9XQvVvN+0e6srZCuDI8Bxd+OaD/dk57q3RPOn8fWlV3u7MLFuWpynkd5bbMr3DqXO7pem3hYwRpzSGnXrInZIa6nflh9ypM/VsT8O5ymWdAZ8zRrWwHMqpaD9euvlcRu6C1nlDh2ad9zfnrUQtehtQ81EB1opBzqPaIm4yDdEDCNPQ+0xTeAMeZ38wYM+WpigHkdk94mj9zv6yDrffHiFRselG6Eef+cOh6YXuBZogV1m/cAwhU4S47D4g7eYp+aaOuPrw6o+/ea/nYm4YOZZDG+/8k0O3mQnbtJmGGBo4X9IsTS2m/KSzqbBqoDvHKkFesWP/fckOQqNIkr6/QuxSguHDJCitj4KbdsqrrL8S4gsoTeEkmOjyOO9/poKn1mfQkY+arEqJ3XezETWRJdLnwdQ6jMSqtK1DkcsxZBM7vbwHlfreRoI06jDTWiV6Szody0V0UrWXCW3OTLSe3/CbllreNhal24fSGMXDpH2M4hAqzbyNKC3oJmCAy/6HMfF+Nu+ezr4tInHK+PtIOaWy4SSSMB7d+F2YWrm5lDxieu13Of6hyqqNUEIEH9y6ALUAjpiX3H0Ze0kLZOXO6VwCYA6m1BCwRU2xSokcrCuu9vVmWCkcoPbI/LOmqSfOOgjZtHDN2ZlRjKYHgROo61OirvmVRJ8/h4M+e/1QX+YKRWlj21aHTIxv7Ct/rmUwdZVARKRHi/KG2h6872ld1+SEha2sRMgtQqDLFOOIfENn3Irrnj1lx+v+bcek82RKWlv7XGc23HKwtLyiLa6WuP980QEzaI9rw+LuyzjWfrFkbowK5YnoAwp27L/PojXQtQ9LlVNJvHLYJXAAv2fqhM971QmfwiOoAoZJ0DB2r+YnbxglfKDGeyTGPvpG/7VC+EBF8awiVoVcBYoMjj2Wj47jFIrkHUBF1QZG/x1LR8ScML1ku79Dc+hbtK+/H7e5h3v3SES4ofNmFBEFQMPMv41bV9zNht1OBodRUbxEGIvyeVCRwYuo9PWYpikeGrFQ4PMz9m7tY56Vdmr/bWGbJJIYh/Hoxk8wRcIHIARPXk3CN4p6VEvLybAZl3KWNi8ZI3wAIsMfkxh4OrJ3WyV8hqF5zAT+cmNwOAMtMShaFmqBt3X0382ojEg9SptXhZonTeBsU0dWuylJ2Kfke4dn7L0w6LzZj1kUwKiRyFMTX+/ozSj59PduGJRyYgGY2I4U9VJSi0+bSSi+ljxv46UVaGYHQCCoVdc25h+uPFZWUt9YeMPvHnlNdO34BJhBW8IFf2bu0KqiWR3nEm0H/E+S8E1GUtP314d/B6yYTYbjL1OdJOUlhHgDSiw9hrNERqJAac4qmRxVa0QtLspiHaKa9x45wCf8/czJ0wgG/o639JazuwZFxvLjvZep/YZzmayZM1ERgOtR0bU2YA4TNIxjeIkv7TnIx7INnEsAAmS4XuBrW2q4o/HDLA/329tOWDp2Oge3/hP5Lb/jZ8MneXeicWajqpdXE5kKTmTfYqmbSQmH63O4kGhhMYhKmSeRhCUYj27cyJV3brnqc5j97t0h4DPBB7euQF3ngDT1giGfEEyygRGaXEHOyD7pt0s89nUg7FISHG7KOzTSGtvfb3DQ1Vq1e8mFnt6MzFDQllZY3NsctIdyJKAJxIKsQOx+u5o5FZLrQGnoJuroDGBtt8nxLz+38Pydy1pHVpW4I8jppUHnhZ9Vl3S2DTvHP4cJS/2YONHOiAn9vGsv5Vd87Rebj33uPXuXCTE2v4r5SIIg9qLFlacQ8Nq9A6nGsfojpfOGPCmTPrt7IG1JohZ6QjdbpaHHrfaVEnraLNn+vWBlo1cTkpG+vyLsEtzKFayQR5G4Q/aVQsox+5YxBImeYkxDEZ5lqDRmNUpjF0us3VfD7c88yc/XdLJic4CMBT5ylw0zPRtlcbIGpVtMhLGo3VQx8ffvQhHZLBRxHbcDqOGOo1X88xY/2RFali6WlT3G/1b7ST8b9tJGlBZyHDqh6W/hPTe8k9dXptPeE2U8R1HR0jJUVC9a6iJRxdo0oDfBNqzj+60asSwqxpEFNCHEBxLtL4kkjEc35gGPceXBBCvX+pViPEKuZfr2CS26dYmwyU1aWmCzyPVUSym7BmpLzoy05kUt3pASPO7UPb96bLtoac3f5vM5V4QMfV59S/78xy9lrnziUubK51vT4i7SfJ6UOc3np1cG/PYr/ew6wLqynhWGKTIfOj5j5ef/VHG0sT/1/NgG3qA2/LW9Zba24egaQz9mgYncI5HjEbGq6lmrHv7DsrBMgLAjxXU8XVxDh/NUuFq8u25a0y/fcVfVN+Z/PnS8quLmIU/KPCIgUlsuFtbF+0C2lGBC361QwN4RCtqtGMv/10sbv/rESxu/mgxwjSJJ+v5KsEswh5fX9eCeqzWWGPjf0X8PM6GoIwYEivQMAdFMVf2o9IStj3kRr4vJs0n4b7QbZdUwhmWoyOiFBGNKhBWom04qirgGgao+ypsf59GyGO9xA9TythX3M7jwSX52eJDpYzcXHWXzMsm1SoB9Hs9u/xQl2bfwgefA3IMimU2oyF6iDgXziJ1GB5WKj9tBAKCAGquTYAB43OK2SbxKYTy6UUMZ4MayVUqER/Q79/8lqyzVb1hIj8jwRyEjkyF0uZZM/yX/oCuCMdolAAAgAElEQVSqLi/gdVT3d+TWjrjTNkgpYrYV0wSTInlBE1/TsG1CNbwoHurP3F5/Yl6Rz+O8aPGzRB5HQywp7T8H4PbbV39zX/ncr1XN2dvrsXd8eU/ZKUOKiL7HQo5HVvMDmFsCmM0GslKi2i3++vklm7/xXxuOSMmklKzw6yvE7mlL5JMlRw/9YFPls597Q9V3V37m6APXfWxm497Z25DxdXZP/fK6mItSKTGCI86E34/P47RKknXg1zv232dFVvOqQJL0/RVglyAFpZ2y4FkVFR6UufFfEl9EhcqtFlgIVORsoh7QQKU9u1E6lcweFkRcjBm0Tgz+jxHEY6iK2mmotGx4pCxa5Cwq/KR7gqSEO9MLVEeQMeQC29Lp7M+hwacRNB0MTawkDKFIYqP6U6Oa9639Dk1rO1i+d3SblNHPOdnESx3Mtoqfvu7DLNXsjKwnvnVFOOK66seCk4Ghz5PScC8ZZ4s4YUlzBLwPKRNGDpN41eOfgJtfxvufuloDiQb73bsPi3Tft/TCoVNCWOv2o6eE1uZvPXeICYvQoN92tr8j+8hwf8YKpFjg9To6w9/nxxxPU3tCIvPxxozKH53NOXD/ybyLX6/JczxyIaviWG/KoYnvEZpZl+LyW+4rHArqEb6k71jTOEHaIUTbUMrmXS/NE30exxjxnGRmnC0dxzNN+/iiVEJZEHN7EHlm7Lk/HZ695lPfu6HVlIRrl9GC2uo1eS3l7X8uLx7uzIxpWh+O3q7sFX6fPaq2z9uTcQBETOeFptqZu+uOVVxsv1gSy9khHI/s2H/fY1bH9mpAMuT514FvoTpPXClcow+rDuVXgo8zromxDA210vozitAWEmY74mZ6hLpjmKKJob5o+pEyFMk7jbKBGcGa59zYMXt+xJliJ+4zJRzpmc+TjiX8akEaPRFjceBZ9lHmd/Uz+9BJ7nRXsXP56OfoRxWLtIyOZVRgIniKBwpX80DlCh5aPExxYyM7WMRvjtnwR3zHBZzZ9DHmHvsuF5capFhtVbQS1WkjfOIziOO4fz2fP27Dv81mPRP+XaRMduNIIi6MRzduRXXteTmw3Jf1SiCfW7pYz+YjxLExigZ7lndDi8fxZJo7fRYSm5TaJImHx+twE6ajdaKNF5cFTG3h2UFnRLTwDy1pa15oc53RBKEsuzl0/aI2z0I1n1hCw6k5LaapuR3OQEt61rCRmesuyUwNZoAMgRi/r0tEoR29UEfuKcgZKV4+v+307w/M2QBgR8tIQawKSfOgRxjj3qcmcmUIs1JHpAspii9cLGz/nz8trv+7G05HkHrdZs583yd/637o228533apIGGETkGkHvzz0r3bbjoWkTYPDLli2okEA7Zu70jqxomfLwEagY9Z3PZVg2Sk7/8YuwS3AR++Crv60FXYR3QIYb/C/Z9DedwVo9qMTZocB5jZ0cTWCCKkWSpwJR+VPl2NiqZNin6d4dbjL7FrTyVf2Dsxqhck1f8s3zkLwu4na9FFrt/2LN/b8A267Pv45LAk0tdQwyxwMyOzin+5DhURrANsOt7u0c/XyQRNYRvr5j7FT9c8wp9qvk3zmid4ZPsT/CKmdDmDjlWv49P7rXzoUaSi7BzCcYw4FdKL+M1UeoGeAu6dwvZJvAphPLpxGqrFWjwbISv4oPHoxpe7j3i4mykSPinxf+1brzvx+V+tv3nEb9PDCR/Aweo5EQttc4I2LjaEFjC1RT5DW9bps20+1+ua5MlnhLS2kUHXHo/btTcU0BsmvjbiTj1kGtpcpJgZ8Dk39XXmbW08Wz6npaH0qCai63mdNnPdT+59OnDPHYc23HP7wUqQFBf29wFkSvtyh9TOTNw+hNxuM0V/lrSnpknb9t8/t/L6kCFaon4SQead//i0EWXqjInDlUsj5ilpEjR89ph2Lu7erLopED4TuHPH/vsGLQ/qVYJkpO//ELsEFSjH+auBL+wSfGenTFjdOXVIGUSIw8AtU3hXNaoSNgOVKo0wFx6i1E0UryiLpE8NDfg6fScCpOeBbBJIE6Q0cFaASAPIo/5YNo3pv+MnPd0sXg4ivNoWEGnP863MdtYcext3zhHIcUPlYQr6HuGPOaPNzUe9Bs2L/8hC7/e4OA3EYlQxyVjVdQvga2THuDHtGd6x0uDOZp3gjNF9Hq/hXcM2/LKfcvsBPhG3Ii4Kol27MY1Pt/DVfS6611ncdwB4F1K+nJ6/SVzjGNXxPUr0NoNTxXJUx5u/lH70wFQ2lpLBe7/4lqZDR8tWA/zb7jnTdu4436eMiy/D77dHdNCRMCXbmTuWtr24YfpARU9LfjPqvRJIAbEFIOi3V7kyPYGg397ncbsWeEdSJIgIApsmtRkPfeYP+kd/cP2JIa9zkifpNz/+x0OulNAWgDdsbNi+aUlrtTbksv3Lj29s6hxIm5krHQXd+FsNIUuRGHnSsdeB/tqx9weCNueRmpkXNqy4NB3AMERrbfXs+iG3S9N1U+59fuWiqXSJtDuCEfcpb0/WwbHPHA6/19HU2543ld/ZV3fsv29v4s1efUiSvv8j7BKkAr8hdteJqSIDVT071R60VvF3qAiXFaH2WLHHRBKyhbA2QyLGylBOYfJoZkutj5y4PX3/l1+NRRPH0iexupwYp3jn6lbWtX6I5V0OPBUGNvM/OHlJYptog5CuYeTkcGnpLXyg8il+uh1F+CpR30M5KgI4AYIfcfqcRNMX8d91e/ncFq78+rtEZCs6iKMJzaAtJKwf716kPHlFI0vi1YT7gBuv4v6s9lKdMsTrav5bPrd0HfDpRNuapuj52D/9Xd+Zc8XjRs19XkfRfx6eWfOhtU3pQkzslBE5h1kwPJ8AyepidxmI6bG2CPod2wa7Lx/SMGxRNb2moafnZfryH/nsMzn/8ovNVScbCrYB3HnTyb3zZ/VOIlM5Gf4Vg72ZNZ9566Hh+36xzR809Pxp0tnQg/9SnnQOaIgIi5qqU7Oytr7vQJc56Lz00CfeY7ReKIlmim8Jb7i9KiLSZwT0mBFSKYUhpbCaqTgMfOlKx3atI5ne/b/Dd0lcBTsVPLlT/sUIH6jUiJUV7D6UPjFa1GkLKgIIgIkWlfXJKWSKKvnC1Bo6KsQi2gKgn7ml36c+93Ee/uO/0V83QmGE75WTwV6AlTy4bQUPjlXsbkfp7aJEEqGPeSn9zCnZy+euA14OqYpVWDHppmnD47+ez+7OorHDhleaaFZaER1E/TaTSCImjEc37gB2XcVd+lGL4L8I5HNLdVSrxrgIhUTr3R+9c+TMueIIfd2Z7oylz9XnTyrAkFEc5wTC8n11VpbvvF2XUzLiN00t6jwsTZElJdh0qX/lrj3b7n5D9TO/2Pn44TtvOhnVEcDw26elOoxF97794DG11Baz86VzpoaIuog+UzN9Pg5jml7gWbvoplMvy0S7oKQvguAbAVvExC8lR6XkrDPV35NT0JfImH4M796x/76rn/G6RpAkfa8wdglSdwnuA66299n3r/L+wlGKKsjYRJQOHaPYM/p6LNbmQxWbjOpHopM+A6dhYGsx0TtBpUJ/w2PHBygLn3C5yPUWxcOTMEYUw/U448UgwxTn1/CemUHSo07IToZ8oFb1b+LvF5ZwuH70pXir/In2NAmd6eNgAdG7lnSP/UcjYNxLVu8Wvr71E5QXreJn2zXMhSROc+1GyvgTuhA6QtyNEG9FRKbnk7h2YTy6URiPbtyE8uO7mvePX+l37u9OvNkVw0R1DVqHKpyLmHtCIa313R+8S/v/7J15fFxV3f/f586aSSb70jZNm+7p3tI9bdMWZNGiuCAiWwU3rLiAPL8HfKS1FVFBRUDhEUVEkE1QEcoqS9I23enepnuaNluTNMskk8x2z++Pk6RZZiazJUGevF+vvNrM3Dn3zGTuud/zXT7f0rK0XvImHZTUW6XR4i5UKn2An+tdIn0CWWUQshRAQ5bPTG0t/MSI5l55u5ePr63o+VhfmEye9g21bOkyD0CkNlSl7gMlfvy5hScuy0xx2nr2E+6cp08VnGQlOxd95eIDherNBJZNdrWZ43w+rQJgzlW7pqmikcjY+OacQz0fM5h83Tx9UqcQKeYgxWSkmJeRXfvJ9BE1xSCDGXTVK7b8sM9OHeWrVxWUr151Y/nqVSFXHX9cGArvDhDrBNcDN6HCm2ElFIdINEZE30h5ECFuQUodIeYD9wO3dzliB8F7yjahtOg6ctd2tZJUhSqC6EAAiS/z3Bx4LsmI02XBcb7D03acK1ruZNhxE63jAY7xqX0SYyTe0jFc6GvZ9fUjUIZTRvvveXTP1eukgdy5dYwvT+N4toCEW8iP+zXl9U4y/Xr52ulaNjsTZXz2JZDsDxuqaKNn9w2BMgazx/LvQwa8PfuImrkQhg4UmgkqnIoQ44A/cyE/04kQDwEPI2V/iusOMYj4nlk0BSXLchmxyeHrSb+uX+Ly/VK+Nf0qcfl+Hdgh35r+FspwTQbQdc5/8/tf9lRVJ+UGGmNWTl3hnZcfXCYEeD2G0rZm6+mpY8+1eb3aGYlA6gh7vFuLt7pHXakpr3ujW6u2m/QRmlDX6pkWU+GRRkv7tSfJS28OWXWgA6ut7SKD0XfAYPRl1Nek1NFF7qm+MrUhZXhH10th9LWZncY4/wpP8cPrdzaXpy0DmDuhetmJquRtGw/l+EsbUaMJiabpNgBbUmti9tTyjeUHR4abiwzArk1Tpl9y1VanxerpDPMmjKxb2njSuNnnMi+WEh0/8mCpWefzzVbXvoqT2SNB9MqnpI/1q3z1KguwFvhv2jct5atXvQ78NPvRp4ojeS//aQx5+gaOb6AWzP4w+CAMyZKI6fAASekFft7lmePANAJ/n2pRHUO6Vr/N8WHJpnt/3AKUSHISgBebpYWszgvbTWL8w5xIbiV5P8A+buylHRUi6SijK9fPc8f9POYHYYijvjNMbMCbbaXe342rggu9h7s+n4iSFChHtYDbiPI8hton0p+Hc6TAd+xyvl90HSuDfR862sT58+gNQ4jenlohpiHEr1DGctf8IBtwN3AEISJpHzjEfwb5wFfoH4MPBmD9ajf4Ov7/NiqVASnx/ejez5w9WZqRG+i1SydUFf7XFcrgAzCafLkJKS3L0pOcM4eltSwbnta8bERGc4Hd5l6iaReMsCSznqWJC97AL45pWjYlua0QIMPmPmvQQmub2O19CMxmi2eawaBnaZreTSewoSq1W76y9Bgu6t5Ht8tzenev3oQR9b0KtzSDrk+cdvYoQM7YmlJNu5C6ctNDf5llMHlP2TOado6dd6LIaPG0r50hVS+nnDic080jJwSafVTtRCkpQXIKhF/t0oSklhmj80odIP1FO7T3F93X6ztavnpVSvnqVatRm+W76X6v+hSwuXz1qvvKV68KIx/zP5MhT9/AEcwDFAvCEfeNBV2/O+UEXrRPojxMvfTjvMSF3Qi7meHpD1CTNps/vplAZUB5khBJpLtnD3qHffJQQszdrhUNT3kcddldXtR0nok9k7GbUO99P8rQ6rmgdFTTdoxTizIEnfQu1CgCn8lOlWgjKTmec41Z7D3pYGRGDVNGmml2juOtk8tZa02hNBTjawmwHSV70/VGsQr4DR2hbyEuQhnjv/Yz/64kAkUI8QTwDjC6NSXhibjzjv7pCT3EQPNxW7+gPcfP69PKt2wfGyBiIN1fmle68zOzzgTyjIeqrQmosOsXxjiWLXY6jxx00qBLLJrotv6EhcHoc+ruC3s0T5t5qs+rtRqMelz7GQ1IcQghu1XuS0mTt9Uc1/Wxw2fSeq2nP/vjk8VjJlWNv2HF/3NZrN0rbuPsbfa1m9Z3FK6h+4Tc/drsHT6vQX/t/k93W780o+/Mqkeean7tp5+pbqhOzrJYPM1Vp7Jqxo+vMBltrlGAweu0nHQ3xdUhWQp+Np5dsMS5R4+ZerKq9HDuYakbuuogLka18KwAKF+9Krv998cI3sMdlDG4vHz1qkeAHAz6a9mPPN0rDP2fzpDRNwCsE506df1GGiVmxGQDMpRdVkxoAV6nbxV+HfzLyPgwRZQMLDGKD7nVruEeNZ43Co9zxXwQcX2/0i/ldDf6pqK8bR2LTjIqB7HL3086bmOS1tUCEpA4hb/tPsQ1XYs+rO3jL0J5OvtSRU5v/2lCLVodO9ZDQD4YjEbaKu5g6nkrjT2NQivgL9wRjPnt86pAGZzzgOuQsmuu4x8IXTi8Q8/xVoAnNz9wRS0bfrSGlaEmYA/x0SVcYfbwENKnF+clavklA7lJeAG4WASPeOlur//CiXbCMvo6GJXibJ021rGgpDa+aGyKs9FskBF5Ok1mj9Hj7irxJ6x1ZzK3Z46p6jTydI+hzWDpnn7XVmff62qI7xaaXT79jHvLke6Ox9JjWb7xUyqHfeV77xS+9vz8sSg5p26agh1oBinmXPXhPIB9b80oKts7ur0CWLq/8ts/t+TOPj35tr89PKn+3YkbXWdSlwE0ne6W3dIzHaWP9+4dNm76iRSX03qktTmurrYyIx94cMWWH3YVlP8i8GAYwy5q/8G04NxnHY68DcB9dntJ6CKEH3GGjL5+Zp1y7T9G9OKlQbmOK68A7kSIElQF7feBK1Gh0leRshEhUlFSIq0oj9Z4VLWpB3gcKUNfcNV4O+lt9O1DvdeJqAVxPKp7RRk9dvMavkhd6W5gho7ZfpzL7US48LbTs5gjCRXCnNn7GOlMovTAp/lGfAqnpvYc6HPclHSET7/vIy4VJd3iAzp2oWdRRlUPA9IviSgP6QiUAZhE+7Vaz7gRD3Au60YuKxpN4dLw5CH80tHyyIsS2W1EiOeBbUj5IFHIaJwfN3wyULieDd9ew8ono5znEIOE75lFVwOX9+tJEtxOoEEvzjuA+k4vQK1Vn0C1mDyCugYmodYrL2qTcxGqQONpLb/kQJhnfQ9A10XnpnTY8IbKaTPKK3bvGj26rjYhHYT1H7tHL2n1GIpuXHSyl4wJYWrydWBLcDYDTEprWSovpH+EjdHk7dW7vPrUMHfmmAvptVLXOlOKdJ845KpPqG2pSl7Sc+nITmte/NUbN7056zP7ktMym9IBabZ45wBc+rkPpy9YfqQUOEUX2a1A3PTQX+b/7NK7S30eY+7Ca7ZuzZ19ugBAaGiplx5d5jyWvrNx47ixAfLyQkbTpCUuoXWS2epq9LhN76cNr/13+epV30Hd1+4iivXLOMbhBu4FZjgcebfY7SX9mzc/QAwZff1PCkp0tF9J5MwwlBTJXFSbMC9wR+cBQpxEGV2B/uY/QoinUJW5b4aYlJ+NCkc2o4oDxnGhMMKBKu4QqBCppEcotZlhEfWQRYVL26uutOSgR/aNvx1cTxV3M+i7ruaaxqm8fHGggYy4xl7JrWde4Sl/kgfz2v/di6pi7iu3cxZK19BCj1CvjtnwFB8UrGJ5US6FfS7AITK5/eeG9t/nIMR+lPEaNp44s0s3GUai/v5/Ws+GhWtY+U1/x65ngx3wrGHlkBj0R5Ob+/0MVm8r6rvS4e25B5VD2HHTrkZ5mAKFme/Ui/NewsB+YAOwR1vQp3cmWyLrvFKUrf7ue2c+cemhxOSU1lnAcCmRzc2W/R+8m1f/2qszst88MCI/M7Ft6+VTKzpTJ9rrZnsZXX0jpcHomwwgVLlsWvhjKIxGby+jxtmQkCclUrTnEkqvluNrMxV7Ws2iuTxtUbDxZttbxg0bWT9WaLKbk0LTSE1Oa0nFRyU+rRizHqxoD3Ocx3rTQ39pffXnn97yyTve6LVG2SbUzjXaXSV1r0+NyujrwGDUk7JGVa8AVnR5+DU67xPhow13dng0rwEWOBx58+32kl4SYQ5HngYk2+0lERvvA4mQ8mPjtfxIsk7wb/o5NGLE6foh8aY+whR9sYMLhgmohNc3ULthJ6rS9FuoHfdFKONuJqGJS0vgsI6h5X3WN3uxGk04xVkWNp3iE/Pp3nfThTI8g+WlbUblbsSC7VzIreugGlVV27kVXs49m5Zxr1+1+K5IaHuC4rJyFvnro9mE8gwcwb+4cljksLHkFgryoh0nAG7gr0R4w6+YO/74H3f8pmfI6sY1rHym57Hr2TAT1bv1C2tYGXJj4CH6H98zi1ahqrX7l5GNW4RZD2qQ9EETGg5EZ35sFfAmygDsSF8oQK1XacAsJLOAkaH4yn0+UdnqNFfXvje5smr7+HjNoGtC03HUJqcK0d1zb0lwbnM1x03r6AjUE7PFtScxxTEr0jfaFSmhrjqtGUS3dXj8/MMfpo2s7UzL0H2i1lGeagYRUMC9A8uo84WpnzjqP4exybgZKYwkeUJav3RdoPlX5kJKqPrLvOP4DP1VxPMbVMQrIuw/2XFUmPWu6/gbwGfs9pJusXKHI08A7wLfsdtLDkZ6voFiyOjrR9apBN1IxIPDYjQfHPoKK6LJGSxHLYYR7FpDw4ep7DH2iTryenb0aEJ5v4ajOk3MRBmBB+he7duBBxWe7nPxCpEK4BiqmKGriGmP8+v8NykHGxkVn07JKAPegAZ2K8n776feX37KRpRkzc4e54qY7zJmWwqlURuQfggm69InW79/1Za3H/x6z5u4B9V28J/A8TWs7Owpup4N76K8n9etYeXpSM87RGzxPbPoTfo7tAswpv6UEL0lOkJGsB2t1+Ytphx8cVHx8Tdm5yO7WokSs9mz2WL2TLQmOvdMXr5nXHyqY2zpzokbyw+O8StnkpTasNFk9kYkdeKP5qb4Il3XpLvN0nm9JqQ0bZy6Ym+3c7TWx2/0uEwzhcnXqrdYsgKPKH3pn913xpTamtvtYY84IJpN0yTSS5KnHi3yApQOWkoytzUVj+2P9atXOlFYCCntP9vu9qNxuAmVrnUM2N1hADoceV9BidqvsttL/hnxeQeAIcmW/qWW7jp0/cIEXg/UoSEUfKhwZr8ZfACnWVrqx+ADZbwtbZ/DJVzw+o1A5bX1ZA+xM/g6zrOM3jph9SgP53FgC2iF93Pe9L/sz9UxBhUlNdMcKFzTscOaCxyOYs6d/I2X0mU4nc5Dw0uQPr6hcCZ/sr/QvQnlLX4LOLGeDdXr2XB1+3N/QsmCHFrPhu+sZ0PyejZ87OUT/gPY3+9nELI5KoMPivrb4JM6db0NPgCB221e3NJqsVx01eZxCWmOsUJA7tyjS5OG1xX5GclrNHkn9348chISWwps8c5ugtLN9fYpPq/mEDb3WUOmY7d58rmilCsPWrKu32m1TTp3LPiIwuBrtvTO7xZYJbJWIIy0GGOyftkmnVsgTL6YjNWDymherKW3nQkgar0EFQHZDjgcjryn2x9/DpV+8A+HI+9FhyMv1+HIiybXvN8YMvr6kbUy5jfjXhhweefweDRyCpvo58pigLMsClohR+/csVSU4VHbb5PqjgmVn7gVlUuXidKgG4+q5lomMUwE+IB124INdJBrAi2qBe1jgzI2eyn0h0slc8bVMC3qcdopQ3n4GggeXu+T6pljQjEaM7kQfulIwrcBD6OM7h9HM4ch/kNIbf0wilcfRSOasHBIeJyW8t4G3wWmLtu722DUO7v3CAHTLttZYE1s6dYBx2pr2ylEt3SWmGAw+rJNCc7qjItO7Z58U1Hhop++eDLh8qOmuPyykZYZ1bON2U0FWpx3vhCY4ydXJQXdJ2r6KUtOQ28JG6McT6K3RSLPC69WQJNxI3p0rT+FgKTFJ1ujGaMLzagixv1EmT5jGN0cirPGCtzgcOSNtdtLXCjvH6iK4VNASXu+30eKj9yEPk6sUxd3EDd69KxixRYrjf7CoKGwkxAqsWJBDVOCSao0oap9e9JRKNJBC1Ek5vaBF6XjtBD1mfTSFeygmP+aX8lsf15IdAzVr/BkZ+6fgbaecjUFcdR8gPKsLkKFtqMybF/kbzlSzb+Tpuy0nTL0LgfNqJzOUSivZ9Q3paaR6aGOsXA9G0wor25PTaxvrmdDf4mZDxEa/bshtLn3keiKND/XgYYVEVX1fki0Ndr8Chx3kD66ulf+nhAw68qt04TQO0WE42yxsm+6kzihuiT/vhdbp33tg9nDFp5YZk1xzhPCf7GYZvFNT15xrDDQWMlLT5zvkG32eoXu9YoLFcoGObqqyXZASrzCpy2l0eTDpe2KZu7WMXUXCYunW19wj1c77vVqftfYABShVCPyCVP6xR+G0Q5nGId3fH839Hh8LLAy2rnEmqHq3X5kraR2neDXdK2ijSHTeHZXDlsizQ2pRFXbDkQIzZPP/efPkF/VSK6/Evq9BM4fm8uFwo1GugsJxxITyvgKwVgRlifZWJ3NdpeFRreVBncc9V4r530ORprNNMd9nut3J3HWlMGB6Q5G7HuXn8kmRsZN4eW62fxhyYOc3e0kczYqh7EWFS6YDoStN1hHXs4ZFm8cxealrgRryXv3rWrYc8ulszSvzzvzqXe3ei0mzZVoM9aPG54Yd97RZmlyemY98Xbl+Ld3J6Py7DLoXsQTFbpBk944c6j5NAYgdQ0rq9ez4XsoYecOslAVnP8bq7kNETY/pG8tzsgQso2sljQhIpSzEhxCRF8QFRLN5qZhOVVbqs4M6+VVtKc3nLLGt/WScAIwmr0Jk5btPV7ywexsAKHJSPVEg+JusCXpblO9ZgxNEMGae35B6sr9H0q3ySTdBrfuMnp1t9ErXUbdMqp+7h//d+mmfbtz5JHDw0bqUhg/+4XdpxYvPZbR2BjX9pN7PjPhKzds3XrjtduXCEQaTmOadOuFxHsno4XfVlIISFl+3Hj+rclISePxU8P2fLBpytQWpyV9zOhz+5LsrU63x2BobIq3g5RWq8dli2trvaTgkEBtdnVi7LwwjGwJxzbKArDbS+5uz+3reo+7C3g1hlOLmiGjr//pKf8REwy0ea7i5kg9Mj6UoRH1jihEioez99J8fln0Br/tafSdBfzl+nUlHrWTS6P/2kDFoTxNSwnBEPYQv+E6ke4AACAASURBVKCUFeX0mrvkO0zYmsqJTiM2kYo5n2NVt6NuY9K4X1F5yod1DBdEmZ2oz6NnZ4/gxHtbX/jU7wwXJ/534VuPfHORN87cKZ66/buf8Rumzdl8yDH+7d1BZRci5fz44WcRoq+/aVcuAZ4N8Nwd69nw5yE5l0Gj/8SSM1u2CRFxsVAR2sBEKaRPnG7ZMeri7NyKE1Vns3Sk6BYhm3XZzkp698HuJHVk7ZT4lKbNHrfJTABh46gRUq96N8814lP7yzSD7HPDJQRWS1aLAz+b7ddembH92acWdVMqePmFuTkvv3Ch9uxPf8kfPmlCdeH8OaeXAQivtoxGM9LsKyLeF9bfRdcF5xoSLCfPpr+5ZdOUKfUNCZ1zOnU6y2+nFIvF3XRJwaFY5nZ3Q0txhZPjfgnwywDP5TsceQV2e4mf/M7BYcjo639yYzXQZF7afTXXjhD44kG4BXJ036/yyyaiqMwMk7O051fM4fHct3hQ1zF1XTQrUTu1sf5e3E6HvMER1E0o1hf7OZQBHI7HQUPlbfQwbgTH+KR7Ab8N+uI4GhK/xcym33GwUmLsEEi2ocKsPY2+GlS+iIaStMmmo+2dWffieMvYKsjfwHdCnnzNlFH9FjY9s3hKJX0b8l1ZsZ4N5/EvbTQBeHw9G1atYeWQ1MDAkxuzkQx6HdlNpRjkVFRKQZ8SSAEoQYsu5zQcGjaNq8OnjTYY9clJKY37G88nd26WE1Kayppqkzz2tKaAxpxm1M2zr9qy2N1qrjuzY8IBjzP2l96YG7bWmeyucItZ8lBrbzcjduKk6jRN06t0XQsqbHz32qsK/vToM8WjR52/sHl0a6Ox+dyILsatBFoMhfg0K5p0YdItWPT5tOsIPnT9tzZXnRi2mDD6L7tcpkQpaRGiPyI/Eqy+cCp/cx2OvM+h1mZ/6VzPtWv8+esVPOAMGX39SHs3jqilOTQ8+tV8aWMe/yi40IEh4vtfCQNn8IGqXh4JYMAz6uvM3fw8r4xrZvgRnyqOWkrouaWTUIm6AT1UVuqbJEJksa98GHsaWsgwt5Bl9RBvcpFocWGPc5FoG8+bR8tYmtPM8HRUJW0kn8lUVHi0W07RmzxSYKeicAp/DzpmGkdHfpFr9rzIy5ldek0WoIopxqNkdA6gDOKe73kv4MCtJbErsVEme42keuJFqqdP762ppa1t4W9e6bd2fWVLpoabuPS19p9A3AgcBH4R8aSGiJSYSAthc+8lq2W4EJ05uZFaPjoaWjejoh/xNlq3tJVeEDSeMP2E/fDuSUfTR1VVjcg7KxIzGrINRj2ktcMc505LH1+RULkv8P5Wl9DiNpxv8RiaT9XbqiXItDh3vEGTBptRt1qMujXe7EssbYg7mWD22rLtrrG27PrjJrsrklznLHrrszIxr3rcI4//9di3v3ZDUrD2lrquidV3fGnGy3/9w3GrxTseQCBGy0bTfmxeiUlOxCuO02JsE1Koz0gX4NWQrbICkzyGWbdPmnuyofZU5i6DJttcXm0RiD7vBxfNOLWF3vqqMUEkuauFCCsXPw/4e5DnRwD/dDjyltntJeHkCvYLQzp9/cg6wRUoQceI0fDo3yN3dyIVsShgqEVZi1HrK4XINvxUUUnwPc6u01XMGhtBLVGvRQqUsXcNX9iTy/tzgbhQ25N9yC3vvcoTC4g8V3ATfj0WOrN4ascIdrbO5o+jjLhzAw3wEs8WHuTL0Rji6nNO9DTT8LYUIngXjby/F++55gv3xUQc1h+/3/Pw5uqZY2Mlnt2BBD63hpWvxHjcIQLge2aRFSVZFDB0GRLJrZtJaVskRAwKBwXFaIE3fbFESprPvTTLqTstvfLU4jIaN1mTW8YYLN6wPhupC9+Rt2c3gOgm6yQlvHcqtXjD0cyRPkmOynTrG034qt58/zeNRosvYOFZH+zjQhelbhw5POz4tuKx1W9umGasqkwOmDs5Ydy5k79/+NkRgQpH+sJRk7jtH/91ywKAYzVxxS6voY+/r+S733izStNkxC3WgmGcdn637cZjs/s+MmxeBK4d7D6+Q9W7/UvYSa09uY4rN8XI4JPAGQbO4IMAfQ8FGL7BnBFTeGl3BGNeRI9q12ROVt5JVsMY3i8QYAunH+1xrjAQXXHIRFT4tQcae7h53uv8ruB+zg87wLWFEuFX3uBz3LTUSn0oemitKJ3CDtpQnVNU9naTKYE3MvqUv3DbrJpE9FuuVsOozP7QfBTAC+vZ8O56NhStZ8P169kQcfuqIULCTgSFRd2weg6T0jYvJgYfbB4ogw/AVZayy5/BB9BakzinqSy9NNwxhSYNtlRHt64NukT+ekvupn8dycr3STEqVIMPYOSoBncUBh8og6/Y3xOTJleNv+mrxYuf/fvjC+66Z8NOa5y7xN9xx05kjn3x7xftCOVk7pqEfbpH6+x33vRhTqHjQHanzmx2kisdZJ/9jHUl6dQvGHKag1ZqR8E1wH6HI2+Dw5H3sMORN3EwJF2GPH39SHt49yXg85G8/iIe3/5pvhkrF3ZUHRYioATl9g5IDXlbHuVwJBpbRbRXa2Wyv/QbXGQ24I2owON+ava2ku6vV244lKI2UEHzQCw0Nv8XGecNeHodd55x5Y9wzO6nTVIzqmtIMypnZBEqD/Jo+/PLuNDpA6w+N1s37xAzmqZnHDh9oC5v5GjdZMyWEh/3jy3mpeHDOR2XptVoSemUlM3g6TP5/HKKQMbEgJLAT/RXHQgRUc/eCDjV/u9O4Bng9TWsDCqePUTo+J5Z9FngHxG9WNObGN3oECJKT6HiFBpZCGwxGCskav417aS3Pj5IrrGUaVPOeIUWnmRMS5390JkdE6cA+HR8v9g0dlt1iyUiY/YrX9u06aavFkeaG9mBFxUtCOqdlxLuuv2LhTu2jfFzH5G88NQTOzIzmuf1eI30NVtO622mJs/5+Ia2stRFgK7Z3LvjRtdpLYeH53ncptNv/+3izrSU2mbTliqHeWq8zXVMl0JrbbXMBkgdW7f1qodeSY7PaE5IG1c3Ujaaq31VtuqWv43TcBkjlS3rhe1bBzcac5tj1jGlD+pQm/mjKMmXp+32Ej9OhNgx5OnrR9rFmb+OanMWFpnsL72SW/1p10XCfjqMgoGjT3HLNI6OM+KMpNdqIsAIth//JrNskRp8bmxtraSNi+S1Pchtn1NQz+VifrHHn8EHkMqJ7Cv4bk+dOlDhl4koD2eHgTwcZex1LL4Xdm5tBjO/GWNOLq0+/K0Zt+Vf+fVHKqXEzZsZm7hr8lJ2Jo+nxpKiY9LOMT3339y/9Ce4D27irk1SeQ6jomLehOMDaPABjGn/+SLwCvCH9WyIqpvIEBcw3LDln8Dj4b9S+hjZdCRGBl8bGr6BNPikTlVwgw9ACFdj/N7gx/TGluqYArLK7ROunxaN2xmpwQeQX3AsFpJbRpTBV0iQZPFzVYlVO7fn+g0Fg+DW7315rNcrut/rdOFu3Do207Fn1Iy2srQCECYQFt1pWdhyeMR8EIlCyG75mWnxngVAy/VXbxrzjZvenQ2y0WjxnLj1/cdmjl50Oi99fN1IIUBLdmeZ8hpmpNxywJc0tuoYQoaj6xcQwwhnv2rr9iANlfN+MfArYJ/DkReLayYgQ0ZfP7NWch64lDDabo2k+Og3mZUgkMkxmsZ5BvZvvZUQRF019MxruWqbwCtRYcvtwAnUZ7UD5cHaSG/x4mmTean4qyxK0tAjDqEf4Mv7ezYqD5NTKPkbgGRUqMRvaf4Mnt61hJ8FDdMv4LcLp/JCT9HUfFTeYDC6LdSWGeWOS+56ygSQ948teavm/XDvlOuPmE00+y2wkBgnvsvPljxBcZmTtL0XHscbriG4+a4vDnaF2hWoisQhYsf3CcfwE7KNUY0fCqOMlfbjKaLpoxom0ifKGorGh9TGq6UyJd7nMpZ73YYaZ1VykeN0eonjdMbx5rL03S3lqZtbzyUWettMh7sG1ISANmvb3nsLx+2vazVHrDMohGTc+JqIPVzeJkulr83YNc1jGbALcPQ8ttlhcay69mstUoqA3Z/qG+LT7rjraoeUF2TKhEFaEqaXHwEZUEBQ0/RuuYAunzibk113xGZzp0qJvO7qTbVff+iFMq3e7HdtESdsDSabe0La5LMjTPFtRSC7COLLsNJYtCxnqTDrsXK2RMIw+llKbah6dwBYKzm8TnAraifVA4mN2vpMDlQNY3fDCHa6p/HcbBFbWZJlDEx4twzl4QtZTmEc/y4Yyzuvn+CTNmB5gMM8qNy1FtR31pzPL30aelT5iYe4OppKqg7B6OOoSsSRKMmXApShmt/+O8u5Z1MBP50sQsiPupprl8Vxvmgn3yrgwkYhLPHaL9/xX8bRbLoIwNrkTMjedTQ1jgeqjnCNvzDUSdrlcspZNPGXVMmVrC46zhWJp7h4HAixkAc3z+eRBBvng4bBJXBs5bxIZYRixQmUXExMdv1DgOGGLa2+ZxbdijKoextfQrow+cox+85j8TlJcKcKQ8wMPoDJ6BxEIwMRfZ50IKSkzXU2eVt94YSF+LSQjEypa5NPbp+4o+jdOYZrvvJWpz6dlAKpa+geI16nFZCnDHHuMmOc2+prNbc1SZnV6DJFVUw1Ma/quBChy5x0xddqbKj467x4wJy8sLQ4cfbZDm/jXKAMSR1CyfVUViRV3nzdLS1ut7HPc+0/lJ23+vZrj//2Vy+0aUJmtJ7MKBZmn5EgToeegtXDh9U3z1m8bzmApiEy05vGamW2GuYLv5s5cc6c1T6ONWnMuQJXU9xej8PaaMtqnC4MeorbEbfXeS6p2ddmmgUiaP62ZUXFaWIpUxQ+HvrZQTNk9A0cO4BSA66RWewrHcGOupk85c5mx0yBTAGi6Z8bCstQ4cf+qEqqQYUhlxHmjvwUKw6d4IpPErwPrQkV3uzkA368/wY+Ge48u3GWhZHmsTWhupmAklapR+X15bY/pqNC6rkzePpEAfcuFGFcaytZXZDGka1v88s2ibGAvheBbs/XMUmO7uIcNNKWU830Mz5MJ1H5I62o/ECBkoXpRGIUr/F4N3HVQn68uJAfk0bJmYv50clJvDLeQO+qxYp5E477LKaIbkIxoBV4AtU3OBrv7RB+MNywRfqeWfQiyDsx6Wcw+c4T520k0TWuPYQ7luBam9EyFZ3NGPrB6JPoQHHdhilGT509rI2xrgv9vTcWpJgtnj5E+MUYX6tljK9VZR7Myq3DoOlnfLoWjp5lN5ZfUlJJGNp2Xal5fep+EEsBGraOyfc6LEWpBSfUde8VbTiMqcR79zY4raNv/vJXnaEYfB2UHB02/savr6r43U9f3q6fSs8D0vooTulmiDmb43o0HRBCujWzZvB6RaX5AK2GVuEwttFk1EWLwYhXdLunWRJbZ1oSW3v9Ln3C2Vpn39xaZ4+XPoNfg9s4tX64v8cHiFdRDQL6tUBtyOgbINZKWtcJLr6DEc/bOD+fCC/WKIl1xWYTypCcj+olG9b3SQIv8pK3fUEIy+g9wWXTfZjOGPBEtGh6sLpdJEUjc9A1eToF5eE8jFrA8gETyLJZPGkKx+DrYCEPLRzBrpI/8/45ibEvaYJunsD3+cnU2TzRJtq10ASYp/DSkn/yl3rpv8dxSNSRl/M3XsoBnUn8a89y1rZksW+WaF+020O7g/G9Pg+sXMPKrevZkIgyaIeIPXeR4bQKu/s2whPfjhXjkMS2caRkKzrDpGSJpy7Bb3V9MA7uHVfs8xmW2JMawuq4IATMHVtzctvxrIg/x/mLTkbUvs5ZmrrPfS6xW45388Hhc4XJtzF5QelS0WxsFYh02WJMPrBl9Ltut+HycM9RWZU84rpbVyX/6sYt+7OSWoN2jhKCeISUSGUYutosma1Oy/Y42wWxadlsvog3hhUZElwRd2ERBmmzZTYttmU24XMZy1vOJR13N9nGIMUoGPTQ7nrgx3Z7iXQ48vpVYWMop28AWYuIt3E+ZlVGETAmhmNtRHm0lqHCli3hDnCAL+9qI7UjMfh8eK/WOMbKiEN4pSw/opKKw6aOCwUVXclDefpq6RRrFqP+wrsTdnLrtnBPcojP7znINecmsuFICId3SwVoZnj6Ixwruo/moz/BdWY9nqqf0uqUaJG27euBxhE+O+v37F38c5rEu9y3uZnM3cc+NXcwDAEXsHgNK7e2/z4LWLeeDZ8ehLl8rBFj663C7o5GHiRahqFEuqNHcgQfh9FZCOTqTnM1iLByqH0+zV1yMHccQFNDQtjFS19adCKqVIicUfUR5TnWF433k18nbI49OUude4e/IaSYCSAQxqWLTl7+x9/9dbNB08PKk01NaKu5cenRnduPZ7p9OlV9HR9vd57t+vvBveMTU/LO7k2bUnYybWpZVdrUsjpTvCsSpQe/GCze7MScumVpU86MShx9br8xzrXRcnH5YKWE3GO3l6xtN/gE8BOHI++7Dkdev0Qshoy+gUAIDSEeQHnFBqwCzQ+juCD1EQ7lqPAZqJvsJlQ1cNdFMiw9Ly9m76s83vVLHbbCfjF3RFxlVcqKsHf17RwisK9hFz3C0CDiNvDovNd5pChUcaTtrN72N16atp3vFBzhqlDCTVOg+8Jaz/g0D/ETdcw5ylOoJYaj/xUqbuy2Tdy9+FdUz/bmXW6Tfx5ZKNu0WC+eTahcPX8cW8PKrvphjSgncmqM5/B/Gr0473KUJ/vSwZ0IdX0f1ANJE7KLmoBkGzojgckdD7WdTSkNd9hd2yZvkVIbDtDWap7R1moOSztuVHpzrsngi+haiYtzO41GPbwe3YBEunSPwa+IssHqro0fXdfLsBo3pnbxC3/54x57QltIkaK0hLZzv7t5U/PlM88WfHrO6aUGzb9ea1fGTi7t9jk0NyTmCCFThcZYIRgmBGlChCeNEwpCgNneNj15XPVS2yHzYsOOxC20aDuQxLpj0V4CF5i91uX/FlSq0Hgu3HNjypDRNzDcCNzJRyOcHkpVWgWqUKEYZUx05G+p1l/+e2aGnGsjgad4b4uHhK5eg1mEGX4+w5I8H6aycF7TwQGujbQNlER9DrXt/3YUg9QDAby4QtvBbQWPsa/YjS1oNew2vrP1DX47F0Q43xUN1Ze4Ay+DEX47bRvGzTOXEXfFWFmw8LAsTC2SXlElZeQ9A9tJBNJRn3dP4dRjXX9Zw8q9a1h59xpWPhXlOYdoRy/OywCeY3BCuj0Z1+e3SdKCZBc6Re3ePDs6Wfg4ho8SdHp14HHXJIRVpV5xNn1f6YkRXXTthOHwvrFheyHnjK05E+5rAK64cv++SF6H4OSwG3dmavGuXQhZKYy+4x1PZa4oOSoEfr2daanOi17+6+P1U/IqgzoN0uyt1b+9ZaPTZNTDiiqNHFsxUQi909Ba+sUPdmkGOaDfN+ETFkNJ/CLz37PmmV7OrNdKbEV4RAkyJukiM1F53mf9PNf5N7DbS9rs9pKf2+0l37XbS/qlVeaQ0dffCDEVeGCwp9GF0eB3F1OLkhs5ieoVuBiVm9axS4tDfXH9hQgd7eOGxDvcv/Esi3vqBproQ+euN4LjXHGq7+O648XiaSInqHB0AJpQ3tLRKI9nNiq/D5QYdTH+P1sAapie/2sqTtYzxq/hvZcbd77JQ/O79OENh8ld/i/p52Tg4AjYmDaZ5YsKMH1qGGsm+lX8D5Mk1PevCfVZHwQeBoaMu35EL86LBx6j/wvNQiUb1Y+6OxIfku3o7ETHgs4cJAWo66LDwz2BAILxnpqEkDeBjibb2U3vzx7Zc2N2aO+4EbpPhHWj/uKCkxGFeC+94mBkAuRGaox2d6Yw6p7kgpOnkxafUnJYQi93lKU7u8qt9MRk0kf/9lcvDLtq5V6/6So2s8fxu5s3uUwGmRvutDRNDh+Wc67TkLXGtw2qg0S0GtKNO5IKzM8PyzO9lNmMjEkHkJmo6NgR1Br2L+BHdntJf3UA8cuQ0df/fIOBbX3WF7ko46rDdXwcpcaejJIbiaQC7wAhplef5JJDW7gzkBhp2N639/hp2IvmLr6xCyISED6C+vysKOPDixJKbgWmAp9EeUgD4iJpyiMcM53kkl5CzA2MdoXSbDwAmcC59v+bUFqJg88XKnfz1Mjx0iVKYzTiCNSNeypQP9SLt9+ZDHxhsCfRDZ1hSFRIX+LDRyE659GZj2Qu4RaU+YTX12IJKdda14X+9muLWkH0Sh/QfVqOx2sMK7d5dEZzbpzZ60+UPSBmi8c1aXJVAJHkwEikRKg+uykFJ+MSZpUvdB7J9AAkzj9zKuXS45+QGe5GiQz4HoQg8fvffn/BPf/9emFPHWePT7MYNBmxsHDGiNrOSM/+wpmDmQbViYzz1ch0z1lxxhKZZ7U3CcAk1Bo2zW4v+WmMxg2ZIaOv/+kziXUQmIvKkdqKqjpdQHSh55B2txLBs2ywBfFkhe2dOsf0XCfJW0KdA8BOvhVpuLHDULahbobD2n9KUSFIgaqODVqUIjGkP8074zZyd3HXiYzj7WjlKLqIkn5Eru2vl9WKsveyMMlE6TCUSEmLbNVOynvHb5KPjSqSx2xbpYxYTDlkwfMhIuajuH6lozMSH0XtOX5LiGJj7apMOtSXflsH2zdP2+jzGSb4f1aYmuoTwv68vrT8cFVCiPlyAAUrjh4QIgIdV0EJ7eHbuHF1M4WArGv3LE3/7P79iQtPq5QdgxyJQfZp4Fy87OiyP//+L1tsce5OA9HjM5jdXi1Q7m2faIYLy8DZIzmzpOy2ng0KeqrnmHf5+TyZ07YEKY8iZTlStgiPLNRa9c3CI4uQsmfzgFAZlPXro3Fj+LgixGXA/wz2NAIwDSWibCN6iYuQvIN7uHmHD0tukEOy8aMGHwiBV36JqwrjaFgInEYJUO9DJcz6y50AoJmsUNp09Vz4WvCfs2ehe2j1JCEVEQjLe9yX/2sqPtzLDbs8xLmGs3tsMOX6EDChCnU2ogzAvjp59DetfHJ+gVyUf5Sky60kXpGH9ql4bFeM5Z5JS1g9vYCJKxayZmIwjcZgPLSeDUkxnfEQnejFeenAy4M9jwAkoCITGUTQ5rIrzuMZIYXufD7NXVY6bGqwYyrPZoTVN9Wc1bTnph+8M/VfLz9qfvCBF4tuvG7rZovF05aR7jhntbr9JvKPzTnf5xrpazZX+hw9OlgY/RfBxOXWT+8s8WrT9gifFlKV7Oic+kX/evGxpm9/o7AoPa25BqCywRZx31iP2ygMBl9lfHzr1pGjK987/P6sg7ouAq7jA4GW6MLYJB1Ghyw3NcqJpkaZbWyU8cYWuczgYrGxRRYYm6QXKftsO+qHyx2OvGtjPuk+EFJGm2M9RDeE0JBSR4ilwLsQ+4qjfqAC5a2KpAdkKSEqmD9A9W4nmX2JQ+9F5T70yUz+vPOz3DzXz1MelPHYy/hyktb4ADU+EAdQFcj+wtJbULIsZagcvnpUCPzyAMd3pQiV/2hBeS5DDHdIr4anQqIdkBiTUN+beFTYPQP/1c2nUTc8L2BHCUb39AAUoW6OA40LVc0c2nfqO6e2cm2Fh9lNIzBIExIpLDJY6P5plEHyrzWsHFrEYoRenKdp+SW6XpyXgNo8RNU1YoDwoK7Z6USQe1j1/NxD0mvos23koX1jNx/YO35xsGNS0hs2XfnFIn+Fbr3RdE/qZYcaheieJy0lXiEw/vTnn9z17/cm92rd+OgtRduGjWzQE5cfn6DFeXvlWLedSNvu3DVyjmlk4yZ7fukyKaF17/Ai65zKLGGUwSV33OKYaDDVA2YkZiFFn59LB7ouak4eGLarcn92gtWoG1LivHE2ky/JbJBp/jyTuqTB5TIeczfHOx3n7daGmuRhPo+p2zVvS3aUzr6qODlQgUl/IuM9W1h27iIM9OkkkBqlvjhxWhpIRpCBSv+ZgAgY1aoEvg7st9tLIipGjJSPQjXpxwchvgzcjRAPA7/nP8eTOgKVoLGVMFqotXOWEIy+syw8GoLBB72rMwNyCT8MZIA5UZVSveRO3uaBPSCWoQyhbajQdhPK2JQo46pjp1sKnEHlYFyBKtTIJnjRSlcDq6597BBCMcKoY05DNd72l9vY1D5ehyRJTvs8SgneXq8A1dd4oG/e2wjH2HxkzEIe6VLwJyTyzLu7RLbLX7/ic8D31rAyFsnVQ7SjF+fZgFK9OO/XwKf4zzD4QG2QFqLWr7mEIYule7RW6dX6LOqSEg4fGNNn+oWzOS5kbTXr6LodQvTeFAmB8czZ5K0lR7J6SbJkJTkrMhLb5uoOq6Hh1ak1SZeXlGmJrlHu0tQd7vIkp+40GX2NcWNAGLznEpLdlfb9LdtHeaXLVOCuTjxt/8TxXSLOO1OIAPd+s5wgM9uDDRKoNW0J1fOnaTLj+Z0jEh/7+7Re78li1F2Z8e7aEYmuxsx4j/P4+biUw+ds4ybYZOI9433ThPAv+eVssOeW7Rm3efTsE0GN7Vgjjfohlp+bjxZaC0yhk2ts6VbAMsJnoViPE4E2vbfb7SUbop5oBAwZfbFCiDjgbtRu8w+DPJtwqEQVcywiZK9UN0LysrzGYzWE1g3CiNq5B/WQpnO4LIHKiwI8vQc/hpBEsJ/ru0oJLEAZJ9NQXr+e9DRaOi7gAyjjaw7Bi0+OEJ739BAQqGdpIv6Nx2X0baz3S+l/EKLv8ywFXLIwUx4ubBaiV1u1HwwZfP3CD1Be5Z8N9kTCwIP6/k8gAo+2p8Z+AkSfRRzlZZl7fAFad3Ubz21KrSpPOzwsu25yX8fGjavxW0zW0mI+9M1v3zCjtdXcy3i9cenRY0IwQv0mMhrfnXgIXZSia73WDek2zmzeOK7zd70xbnTjy9NHC5v7XNzsisPm3PrxQguy5uvU4BNhddh5/p0JfsPfLq9mOdNozT7TaO12vmNOMenP5XLbzSP1BYHGPLtv7MJRM09UC42IdVnDQWryOBdXjwjV4AuE5iJft8hdaKLnxvUdcjmIbAAAH7RJREFU4MVoxo6G/xRP1EcXIQRCfAFVETt9sKcTBhuBX6M8deOBfwPPA/+LagmzP8Rx+sxfczCitpqZ8/s6rp0FwPZgB4zl7QNfY0GzCBxqXYbyypV2fVAgWcUlzh7H9tLsCoFpKEmbrcBD+K+UPUn4fY5nAiV9HtWbGQQX3Z6DCuEPFLHp2nAkIYd7Ju7t8Wgh8NeYjD8EAHpx3kS9OO9F1HX/n0I58ChK2DYHVZD2HPAkcD/wl1AGcVUkhdQJaPfOvJAkUnRdG7XxnblBNf+E2Xs+cf6pIs2k+71fxMe7p/zjxccqr7pyz7aee+pfvjZzWbdiCa9hCrqWG8rcOpBOc6Zzc+6yhmdnSU9Vwq+BZ+mZ1y2RotZcIRBhFcj85o5Ne8I5HuC9OsOCLfWiMOB8pWaoL8+IZF2MjBHOcix61OFkARgdcgJSds3BdAPftttLBi0lZcjTFz1PADcP9iRCRKIWxd8h5YdBjxSiCfhlH+N5UTvsoGzg0YPtIdVQ8bvQGHG6Ps8NW/P4xxJBn7uwfNQFtpF2L942btv6HvfFIjfkL8DP18oL1VfrBPcCn0Ytnh6UIR1WlxJUaPkcAbTEgmBD5fTV4l9HEdRNckSY40bCOehbgT9knh+Ry70X7Fn5UO4Ha783dSiHL0boxXmXAa/T9/X0UWEn8CvgH1p+ScACNL04Lwu4qa/BXFVJfb7v83X2E61OS8gbuLZWy+ya6uRjGVkNvdZG84iGXQnTzw4TWnCvpMXiG/f977437uovfLj1O9+/dlJDoy1ldLrj1G2XH6gwGfRIcq+7chD4H6TYYL30Qy+A/sHUX+EVzyJwIKQXXSR0tGMLh+UXlU+0mr2uNrcxlGK5Th4tMyzLjfNuGW712+KS+vJ0a2pOxDUi4ZHlCr8yOgBCkohkX4dUDj651Z585FgfL+tXhjx90RNytekg8zqwACm/2qfBp+jpYfHHSYK0T5NAIT/afITP+AudBmMiKkTbyRwe23YXSbWT+ceyEAy+Dswog++dNpK2vsnD89zYIxFl7mAHsGitZFVXg6+dzSiP2zyUwRmp/Eqk8xuOktcIdCPsb/mDjajuGLFdU07EZ8tvTtsuJbo8a93JY6NjIfQ8xAXO859h8J0GvgYs0vJLng9m8AFo+SXVhCA343VYg4YMGxviy957c4ExXMH0bYUzu1VzajZXefKKkp32mWfnBA2p9mBkdsPCF599vDE5sWX/vddtrRyT6VgsRGiaqH5oBG4DZqff/8Ir6fe/0Om9FB5tr5AiVehirvBpC4XsO+TtD6NBDr9k3tmwdAfbZ8CPjhpnt/r8y5h4XaZ+dVBJTZ6U82v3yWXVpQxvDTdCExSjQ2Yh5UmkrNBccmcsx45oPoM9gY8BoYZBB5KjqIrTUlRV2ytIWRrmGKGIUZ4jcJ6ebxN3P/wBP7k9zPN2kAhszGFz4pf4nB5PTcCcj1DGstK4IJ7qD1sYFigPMBhlwH3Ak2slgSRV3iPkoo2gZKL+dpF0QJiGqpidSe9ruz+MvlKUZ/Eo/nMiY8Pjo+fzWlYtlZa5SBF2B5YhgnIItT+LeV/mKKhH5RnXotahDUCxlh92W6p9BPE66x6tFZ8IKDclJa+/9Wr+bBDDwzwv9XWJ8999bUHh7CUH0kd/4mCdKb15vhAR5UxjFPLc3x56dr6rJrG4rTKixige4HHgF+n3v+C37Zu4dL9PvjP9FZRhHRULp1U5NmzODft1bimsPzhsHPabKd7jZo1uuYSO2sTYRQ+6IOfX7sOi2zDp8cT7ImlM0CdCkmVskg1IbEJJfw0qQ56+6OlqHLUxuGKmZ1F9ficj5UKkvBYpH4rA4AOoaf8JRqAbRRvw2fe4L2KhTmDsYn5muJkl0+OpiWbnVQbMB5jNn3rm8/XF+8A1wMS1kt8HMfhYq/ozxqoaK1KxT1Ah5bf8PD6e2H83y1B6aZEY0uFRYU1HCoC7+v1c/4fQ8kucdO9fXDpIUwGVLvIwMF7LL5mv5Zd8SssvuUvLL9kYgcEH/tq1dcFVkVwSpAPOE2+9mn8ziEDpEn0gzI0ttqnjrtmeZs5oLhAi/G5DHcgma5ymgSWteRrI9s1bSFprZ4EfAmPS73/htkAGXxf+HukcuzJmRFPE6ReWlFb9xNJDpxHdde/aHLZsZ6MtUj1Pv0hkLZmuGSR7xhPvC9uwDwchSRYq8vSttjMTB1x+pitDnr7o6Zogvxz4BHAvyvOzDVXR2984UcnLDyBluIaNf6SUCHGM4Er3/kIercBnkPLfCOzAfxNho/YMDntE9BuT0yitPfL55YyRbNk3lncnSYT8gPU7tnD7NNC6bp9rgbeBx9bKsMWNnwO+HOV8oY+OHkE4i8qxnILKfeqqYZiNem89E6ZziKz1HkTv1YyEm9cJHlkrCTthfIiAVKA89o8Cv0BdM6DWsn8P0Bw2AHdq+SWxTNgPVtyE9BgCFWc8Ctz21bPflA/a//oY8N1ITm4w+ryaQUbloZI6B3EZpwNoRj0xfkzNXqPNnS2MvnRPU9w+Z1makD5D14IQLyrV4iXgifT7XwhHeP/fBM8LDolx2U0RGriS19966UxaWtslFf9s3lL65PwuoXfBh/9YsmjU7OOb4pObfV63EYPJhz290WaOb5sjRAT3iUTPEUR07zUC0lGG+P8b4PN2MmT0RYuUZxHic6im5OuAP6LyqppQlbA3EKHREyJPAz9Eyv5QLm/o4/menq8mYCVSbgJYK3GsE3wLVWEXLs/n8sGHRCf90SGrAkAc9YmTeK2zZ+Vl3Ll0Eb+ufZq33q9hWi1Kauf9tZLImpnDmygtvbDbyfUg0r6T54AObS9/4dx0/H+eO1AGXDhVt20MTrW6AO5YJ/h6u3d1iOhZhSrw+jrK03YW9T3ajlpfbuzHcx8AfqDll7zdD2M3BnvSOrJ+gp8DfgHcnf3oUx3eqh8Bn6V94xgGxw0m322oNSFiZLOlW3s2c1LrzC7/n2Gadla2ViQXuWoSBYjngefT738hok2juHS/R74z/QXg29HMubbRGlFXodW37d6clta2GCDriiOzSp+c5+jeI11QtntCL+HruKTmsknL9p2JT3EsCsv4G9k6WJHOVW1nJj5izTnal+e1XxjqyBErhLACWUh5GiHigc8AVwLX9dMZNwPfR/ZjYqgQ76B2+z0pR+XcZKC8SqCMncv8FYmsEzwHhNpuphJYvVbyT4T4AX1XEAcjVL24ryLln6I4TyfrBE8CX4liCInK+whZ5LWdzirldlwoKZn5hF5FvBkVgvBwwWichn8j1odq8xadHl/kPLlWcssgnftjiV6cl6fll5ToxXkaykv8WeBWIssv7YtalEH1hJZfEukmKyh6cd5NwFM9H5cSHHtyNrnKk4W3IW5RlxDvj7IffeqnPY9/0P7XTxF66oYOPAis+f6/7ktASclEhJSUy6qE4UFC0B18YLhu64pIz9PtnO9MX4GKUkXM716atvG+P88NK8c3Z1RTxfuFzyd07dxR9XrettI/z03WXaaQNqMJaY3HJyw5cM5g9BlcTourzWGTKdm1ieY4t9/0IKnJE1xeORyjjHSTHQ1NwAhrztEBz/EbyumLFVK2IeXp9v+3IOVzQH/0BT2DMiSX9qvBp6gM8Hg16mbfYfCVAQVBqoK/j0rODoZEeUsnr5X8s/2xw4Qo/uwHL6FXwgbV1QqTp6N8/R7CN/j20luc2YL6Gx1BhdxDYTEXqo+Xtf8ECrcZUDIxg8XV60TgyvEhwqcjtKrll+hafsl21Pcq1gafF6UPOlHLL/l9fxl87fhdv4SAloPD87wNtsXtBpUOfMefwQdwu+P614EXQjjfh8C82x3X33m743on6rqLvPDIaToRgsEHsV2/ilD3mIiQEs+zb00MK10kIcHd/PqbLzX3bNU27FMlC+b+6cXhmtXjt6K3J811SeN3v7I4f+fLBQv2v7Gg4Nim6ct2vrx0kpQBPp94b9UgGXygIiufHIwTDxl9/cv/I3KjpSctqJ3xJKR8joFx0RajdvpTUH1db0dJ1MzgQmj3HWAuUgYs018rqQbuDHKeo8CStZLVa2WXkIyUrwNfjXDumyFkBfdQhaND4X2UERwJLgi7x+QBYAyBO5jMQn2+kYZCc/08JlE3h/4v4PBPPTAlWGHNEDHhb6i85FjxKjBVyy/5gZZfMhAdVU4Cj6C6DeWgbrK7AYzJrUfaj6kGLs9+9Knf9jHW9wic7uJCrfULbndc37nxFSsOOlBtFcNOvZGS09JhCfX6mut7dmFM7uXi0v0+oti4/rNwTHFpZWLIVcoJCe7mDzY+d8Jm8/pVgTAmuBPn/umFkYY4d0iGX090r9HmdZt65XZKs283i2tm+HvNAHErqnf4gDMU3u1vhPgjkRsuHTyFytsbyK4K/hEiBViBChmWIOWuUF62TmlLfUD3VkkSFQr50VoZxBslxO0o70A4hNMKbB9Shi1EGoh1gl8QWaLuJiC0Zu1qd7+d0HuN7keFaiOR5tiPyt+rR1Wrjyeyln2x4sW1ki8N4vn/z6AX530aeIboinb2A7dr+SXvxmZWkaMX5xmAJY07Rmc4jwzzAG9mP/pUSBuiB+1//TpK+qQr24Cbb3dcH9Aoke9PnYzaJIVcNCAlp2RVwpgwLteZhuu2hiKz1fe535k+ndAku7pRU2/9cN7NX5zh8RpCqhX4/BeO7Lxn7RZrYqK7T01Ab4vJsfPmL1WEGurtSu6coxtHTj+1FEDaPcVMabST4ZpG5HqH0eIFkgcjtAtDhRz9j5RfQ4gXUEZLJIKXDyPl92I8q8iRsp4ISvvXSuQ6wXdQ4UuBChuuWiuDt1xrP+eDCOEAfk/o3ulwjJIZCJGBlLGSfC8kfKPvKOE1uN9OeL1G64lciy0HVdk3h8HL4evKkFbfAKHll7yqF+dNRulUropgiFpgdoSSKzGnfR6FKfkRxa2fAL6Jug5cKPmgR253XB/0vYkVBw/L96cuQQnkhxT6FIIx0qQfxWMIpV85KI9iTIw+VPTgPCG02OyC93/+d2FTqAZfwbKy/ff/snCWEKHZIF6H1aG7jBF1FCrdNWGpJdH5bvo1BzPJdEXbzSQWnBssgw+GwrsDg5TvANcTWYjtY+OKXSvZB/wOFT64KCSDrwMp/whcTejiluNRxSahsjyMY/viA0L7Wx8Cfosq+pmOCqPfTu+qQy8qVAVKXmMb4TeXD/97pMlaZjduYnxLCZmueEz6YHefOYYK2987yPP4P4WWX1KBEu2NpBuK9lEx+KLldsf1OqqjxSlg9u2O63/Tl8HXgVhx8AhqwxRSZARAJLgC5VT74+Iwjg1+3kv3S+CNEA6tQYUobwVGbdicewXwBVRDgJ4cAbBYvO71924s+tOf35wQqsEH4GmyOAm/rSWWkY1b7XPKi458MHO202CsC/f1MaYatX5/cTAnMRTeHUiE+ApKGgHUTfhnqOrYYDllNyFltMUBHxnWCZKB1ojlNoSYg6qkC5Svp6O8iR2LxJwAx/XkD0j5jYjm5Id1ghK6S6C0ovL9dqKq4/Z0y1/s/trhwI+Bb6A8bN9DGTqTibxNmwdlNE0mFI9fgvcwf9zXKr5UeZHUAbfm4Yz1HJOXG/CJflHH78FmlITItagCkwdQ+olirUQfgPMP0QO9OK9DxqVDyHYjqnhhNYFzSt/R8ksuG4DpDRgP2v+aebvj+nORvFa+P9UGvAisDHiMpJQ242m8mkE2W0JN92gGUg3XbY1J5x35zvT/offm6kOUQbex/d8z7QZiN0ZYfmVESZU9jFqH73js929nTJ9Rc8OwYS2ThSA+kjm1VSVU7rvz0+e8DmsIqTiyKeXik7vHrnt3mRCguwxuzewzmeoMWzSfGAhvnw9VFHcxajNfB6wB3Naco4O6fg0ZfQONEN9CXRD3IOV7CHE3qkDjdeDTqKrLrkxDGTh5qBu2BynvGMAZf/QQIh0VLvenH1ZG+JpaoARpx8SqQGad4HWUAfovVLhk71oZXguedYJFKNmVGRAzMeKNwFT6Ct1cca5QvLGjVyhX7k48yfzFFrxa7HL6RrTt4sm9Fm6Y5aXRlIxOKV7t82tlnxXfQwwwenFeHirM+RZq0zoDVfDhQnnhe26y/gdlrOehNkELgau1/JKgGnofZ+T7UwXwLeAn+LkO9bq4g7iNUyMYusBw3daN0c4PQL4z/XqUkfIsag06KC7dH1ZBygjLr/KAcxWuH5xvrZy0jxjoejbsHX7o6P3Lvd5ma/AiDINeMefdJ4YJo+wezZT4THWG7ZpPLIp2LheGlDXeJL3c4NSahIcxgE8gbrLmHI3J3yLWDBl9g40QmajK2K0oqYyrUQtkHv4rJ+9Hyv8esPl9lBH/v717j5GqvMM4/n1ndg+wgANSVGhtca2AWrSxXhAVRTTWjLENmrQhmnhpLb2ktWna0rSZrWvb2NrYVnu1LVWrqLEXbzRWRJSbGykXFXAX6iygKCCg20Uuszvz9o93F/YytzM7O5c9zyfZkJw5c3gl5uxz3vO+v5+ZiVtY3XNGbQOFrZ0EmIy1W3KflttthlENlv1FutZXcK/Fi+V13ANEejWpt3l38WgzpjNtSRabMElOuGwT73kDL848c+8yljRdZGqOzD4+aJceO69h1vll71EpuaVWTa3BzcSuBYbjXvVNwy2vmEb/deMbgItDM5oL7TozZNilp4/HPbxe1/N4anfddpLhQh5cbw/PbYoVZWyLp40EDprLXxvwrNTBd6aMwa0RLMrGifi95y3buei0rMtbPjb/xdXjr2o5J9Pn4fbQ8poDoQH3C7fYeOJDyZGEj7x5WkOKb0aGxysy8IE2cpSXMaOBGqztXgOxsuun+/OTcFPEbbj1E7uwdkeph1mxrF2GMWfiZkm717QMZN3GbHr3IS1YsQJfl4H0Hu7J4jbhZF8c/uja3WZMZ8ZF08azYbtwneHK8wofSdju4ttvbOEnLTON+1XwFvCHGNEfUZQyszLYUqumGly5oOWhGc0pXDmn23t8Phq39rSGo728t4VmNKvUDmBmbXwXuN4uPX05bpMa1tJKsuBZ9Nm42bmBj+3y14r50HUGRQp8wMYP3hi3gSxrmusmv7ti/FUtWV+LJ0elLggfMFsNZlIhg7DYpK3hpY6xydMJMRa37vpfwI2R4fGKfqBR6CsHYybhnoS3HCnonI61rWinYnbWHsaYnv8fD6SY7KW41nmVppCn/p7eAh4BFjRYXr/N8B1cu6n+Zu9ZZubsyr1J5Io9n6A2tZ2OkL+xTTi0httbUly/4yzj2e6n47eBOTGiq31dS8oitWqqB1wBbAU2dQW+fkIzmtvJv5NFkB399+sI7QBzUoHXOTe5cPqo8NymYj5wFsNA71+HcIHqAeCp9ubjj8etI+3HhFNvTbnn6dwPyYZQapjdFj5sJvkZiMXuSI2wb3SOTJ1G+Eh5rZ3AoxEvfqufa5WLQl95fA33KnfA08uBZ4yh91qRgcwiXIIxpkSFr/3wW3E/hdsAsgRXPHt9g+21e3d82m8NS8Z5cnVe03fGgJ3+3laWj8vzhm5T/GLTy+bWrX07hxwArogR3ZDfdaQCnIrrUHH+UNmZW2ZH71+1qWmEk4W+3u1+1f7vYg2sSArpGLIFtx56KfDCiAktPWYe70h//wJO/tHiveGRHR/J9HlPyTp7XNjHdsJU2L7UMS55FqZfObBfAr/K/0rlpdBXHr8F5uAKE3+9zGOpdnUc3c07DFcX7FVcZ4s5Pq81HrfJodICyHdxu75Hdf2Mxv33jev6M4L7d3gf1+D98QabsYUewALSdUh5bO1+U5fqu5Eos3nbR7I8XVveNE44vC5N4OsAPq3AV3U24kLf31Orpp4XmtFc7lIY1S4OPA2MNobDdljyNQ6Ew7j1kcN9XutSKi/0PYvbpDgKGNn15xjcW5lxuMLfo3El5JbjOresHjGhJdPD90bcLvJeVS/qpry7YsxF2/Ld7Yyttada7B6DyatodsfY5GRMv42WvwZ+FvHilTZRkJE2cpSL28AxDGsL7nMoWRhzPoXVFfsC1v652MOpJF1lc96kb4/fEcktNK2sNWe0T8rnOvZgKEHdpxNgcvQKtp1cvWuleWJN393AN8SI3p/3wKVipFZNDQFnAutDM5r1S2QQJBdO/y9uk58fy8JzmyqhgPqgWnLuHQ/hetD3YA9OvGnN2ok3rb0g3+vU7g2vCHWanEHRYjcnxidPJNSrVuBi4MqIF6+q2W4VZy4Xa3cr8A2qXQV+r6D6W9WkwfI+bnH1g70+OBiqZ29t5nZ4fZgRKY/Pv5Ol2Ky1zNu2jJ3P/a9P4GsArlHgq16hGc2p0IzmdQp8g6qQe1ih971qcwtwIz3XQ2JGtL8ywVcA6xydPM5iMxadtyH7cmJsZ0viuOTkHoFvNfA54JpqC3yg0CdD154CvvMmbsHwkNdgacUVP37qyMHP7lphZu3LXMolnYXrLmbWnmVpP5t4eK353YaZ5vhE31pkdbh6iiKSWSH3sErciFZ0s1+e/8Hsl+ffB9zQfczUJltP+ekzvkoKWI/JnWNSWy2238OuxXYkjk1Osh5T+uw9rsEtpcn7AbmS6PWuDE3G1OJ/U0cMa2/PfdrQcZthCrCWkZ1vsvfZk80wm26db9Y+nNYCcz71Io8ffxFhu5Np7a1cuC/Jt1onm0kHM3XvsLh+rg8ANka0KKVyRIaK5MLpD+M60uRrMzA1PLcpUL/Ul5x7x/NgZ06+++nNx5z1TrqH1r24tYMZhQ6Z9TVtoeOAMYTYlKq1HyRH2HF2mM1W83Ulbt3lMREvXshSorLQRg4ZqsI+z+8E/jQYA6lkDZaW2+qSP+T5plvSBL5NuNIISdwC67SMAf655mK7ffguTjw00RjyaYxucN0avo+ruaXQJ9Kb33vY74MW+LrcNPaS1gXHnPVO3wqfB4BG4B5cR6NTMl0gNdx+MlGb3EcID8PZef69FwCv4X5vKPSJlFkC1x9yPG532Diy30Qfx1o/Dc6HjvZndpkwH+95BNf7954Y0Q6ARhY9AXwm22XMRw9l6oecTScKfCLpvILrLhTp+snWs/YQcF8JxlRxzl5x7z5r+/Wvfwz4VsSLvwnQlqj/HvC3rBcK52hNmdmrbYn6cLWs71Pok6HJ2hSuFqJjTBj4MK759QRgIi4MnoIrH1DMNmdVxYR7lai5H5gfI7qzz2nzcZtcurvGPAAUo39lDdDayKJjugOmiEB4btOPgR8DJBdON7j71KnAibhOKOC69USAteG5TUHtVd1uDNtw9/YNwNcjXnxpn3P+gaultwNYgSv38ssi/f1347rNPFKk6w0qrekTCbhGFn0SV7vvqzGiL+U6v+s7S4FLijSE+2JEbyzStUQkYNoS9ctxM3m/iXjxzjzOvxF3zyuG94CTIl68rUjXG1Sa6RORrcA5MaJ+Xk8MuBF7l/24Ei4iIr61JepDwNURL+5nprOYs10N1RL4QKFPJPBiRN8v4Gt5tTrKww9iRFW+RUQKEvHiKdxsmx/Fun+tpsqWBqlOn4gU4gJcyZV8tQAP0bv49VO4NkYiIqV0J/Tb/JHNB8Df6b1Ldx9wXVforBoKfSLiW4zoHmBJnqc/ApwdI3odrrn8f4DngLt8vlIWERmwiBc/HPHiq4G38zj9v8AlES9+LXAh8HPcDN+9ES++eRCHOSj0eldECpWrxMFu4MKehZdjRHcD5wA0sshk+qKIyGBqS9R7wOgcp30Z+GN3OZaIF7fAt7u+X5X3L+3eFRHfGll0KbAQyFSbzwI3x4j+pXSjEhHJrS1RPw54GLg8y2nP4DaIDKlSUgp9IuJLI4s+iyuPkK3Y9YIY0ZtLNCQRkby0JerHAOuASVlO2wucXE27cvOlNX0ikrdGFg3DFSPN1SLqyRIMR0TEr++TPfABvDAUAx8o9ImIP2fiOgLkotZqIlKJrs7jnCF7/1LoExE/Inmccz/Qt42biEglyHUPawUeLcVAykG7d0XEjw/n+NwC34gRHZKvRkSkerUl6sNk3nzW7c6IF19fivGUg2b6RMQPL8fnLwLtpRiIiIhPue5fbcDKUgykXBT6RMSP2iyfrQQuixGtqgr1IhIY2e5f+4FZES/+aqkGUw4KfSLiR7Yn5WvVYUNEKli2+1djxIuvK9lIykShT0T8yPSk/B6wp5QDERHxKdtMX9W1VCuEQp+I+DEvw/ElMaKdJR2JiIg/X8pwfD/wUikHUi4KfSLiR7rXt7vJHAZFRCpFpvXGX4x48d0lHUmZKPSJiB9/SnPsvhjRvSUfiYiIPw8CiT7HdgCPlWEsZaHQJyJ+3EX/Fmt/LcdARET8iHjxOHBDn8MPRbx4YDagKfSJSN5iRDuAm4C3ehzOp0uHiEjZRbz4w8ACjr7qDdT9S6FPRHzpepVbDywGlgHbyzsiEZH8Rbz4zcA3cD12ny/zcErKWGvLPQYRERERGWSa6RMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJAIU+ERERkQBQ6BMREREJgP8DM70geFiuuooAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f,ax = plt.subplots(1,2,figsize=(10,4))\n",
    "neighborhood.assign(labels=predicted).plot('labels',ax=ax[0],cmap='rainbow')\n",
    "neighborhood.assign(strength=strength).plot('strength', cmap='plasma', ax=ax[1], vmin=.5, vmax=1)\n",
    "for i in range(2):\n",
    "    ax[i].axis('off')\n",
    "    ax[i].set_title([\"label\",\"strength\"][i], fontsize=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "but, these assignment probabilities are *not* the same as the silhouette scores, and often have quite a different structure from the silhouette scores. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "silhouettes_gmm = skm.silhouette_samples(neighborhood[['median_price']], predicted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7ff2a68cd940>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(strength, silhouettes_gmm)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "gds",
   "language": "python",
   "name": "gds"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
